Bulletin of the American Mathematical Society
- Bull. Amer. Math. Soc.
- Volume 72, Number 2 (1966), 167-219.
The geometry of $G$-structures
Full-text: Open access
Article information
Source
Bull. Amer. Math. Soc., Volume 72, Number 2 (1966), 167-219.
Dates
First available in Project Euclid: 4 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.bams/1183527777
Mathematical Reviews number (MathSciNet)
MR0192436
Zentralblatt MATH identifier
0136.17804
Citation
Chern, S. S. The geometry of $G$-structures. Bull. Amer. Math. Soc. 72 (1966), no. 2, 167--219. https://projecteuclid.org/euclid.bams/1183527777
References
- 1. L. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Fenn. Nova Ser. A 3 (1941), no. 4, 1-31.
- 2. Y. Akizuki and S. Nakano, Note on Kodaira-Spencer's proof of Lefschetz theorems, Proc. Japan Acad. 30 (1954), 266-272.Zentralblatt MATH: 0059.14701
Mathematical Reviews (MathSciNet): MR66694
Digital Object Identifier: doi:10.3792/pja/1195526105
Project Euclid: euclid.pja/1195526105 - 3. A. D. Alexandrow, Die innere Geometrie der konvexen Flächen, Akademie Verlag, Berlin, 1955.
- 4. C. B. Allendoerfer and A. Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101-129.Zentralblatt MATH: 0060.38102
Mathematical Reviews (MathSciNet): MR7627
Digital Object Identifier: doi:10.1090/S0002-9947-1943-0007627-9 - 5. W. Ambrose and I. M. Singer, A theorem on holonomy, Trans. Amer. Math. Soc. 75 (1953), 428-443.Zentralblatt MATH: 0052.18002
Mathematical Reviews (MathSciNet): MR63739
Digital Object Identifier: doi:10.1090/S0002-9947-1953-0063739-1 - 6. A. Andreotti, On the complex structures of a class of simply-connected manifolds, Algebraic geometry and topology (Lefschetz Jubilee Volume), Princeton Univ. Press, Princeton, N. J., 1957, pp. 53-77.
- 7. A. Andronov and L. Pontrjagin, Systèmes grossiers, C.R. Acad. Sci. Paris 14 (1937), 247-250.
- 8. M. F. Atiyah, Complex analytic connections in fiber bundles, Trans. Amer. Math. Soc. 85 (1957), 181-207.Zentralblatt MATH: 0078.16002
Mathematical Reviews (MathSciNet): MR86359
Digital Object Identifier: doi:10.1090/S0002-9947-1957-0086359-5 - 9. M. F. Atiyah, Some examples of complex manifolds, Bonn. Math. Schr. 6 (1958), 1-28.
- 10. M. F. Atiyah and R. Bott, On the periodicity theorem for complex vector bundles, Acta Math. 112 (1964), 229-247.Zentralblatt MATH: 0131.38201
Mathematical Reviews (MathSciNet): MR178470
Digital Object Identifier: doi:10.1007/BF02391772 - 11. M. F. Atiyah and F. Hirzebruch, Riemann-Roch theorem for differentiable manifolds, Bull. Amer. Math. Soc. 65 (1959), 276-281.Zentralblatt MATH: 0142.40901
Mathematical Reviews (MathSciNet): MR110106
Digital Object Identifier: doi:10.1090/S0002-9904-1959-10344-X
Project Euclid: euclid.bams/1183523205 - 12. M. F. Atiyah and F. Hirzebruch, Charakteristiche Klassen und Anwendungen, Enseignement Math. 7 (1961), 188-213.
- 13. M. F. Atiyah and I. M. Singer, The index of elliptic operators on compact manifolds, Bull. Amer. Math. Soc. 69 (1963), 421-433.Zentralblatt MATH: 0118.31203
Mathematical Reviews (MathSciNet): MR157392
Digital Object Identifier: doi:10.1090/S0002-9904-1963-10957-X
Project Euclid: euclid.bams/1183525276 - 14. T. F. Banchoff, Tightly embedded two-dimensional polyhedral manifolds, Amer. J. Math. 87 (1965), 462-472.Zentralblatt MATH: 0136.21005
Mathematical Reviews (MathSciNet): MR178472
Digital Object Identifier: doi:10.2307/2373013 - 15. M. Berger, Sur quelques variétés riemanniennes suffisamment pincées, Bull. Soc. Math. France 88 (1960), 57-71.
- 16. M. Berger, Les variétés riemanniennes normales simplement connexes à courbure strictement positive, Ann. Scuola Norm. Sup. Pisa 15 (1961), 179-246.
- 17. M. Berger, Les variétés riemanniennes dont la courbure satisfait certaines conditions, pp. 447-456, Proc. Internat. Congress Math., 1962.
- 18. D. Bernard, Sur la géométrie différentielle de G-structures, Ann. Inst. Fourier (Grenoble), 10 (1960), 151-270.Zentralblatt MATH: 0095.36406
Mathematical Reviews (MathSciNet): MR126800
Digital Object Identifier: doi:10.5802/aif.99 - 19. L. Bers, Spaces of Riemann surfaces, pp. 349-361, Proc. Internat. Congress Math., 1958.
- 20. R. L. Bishop and R. J. Crittenden, Geometry of manifolds, Academic Press, New York, 1964.
- 21. R. L. Bishop and S. I. Goldberg, On the second cohomology group of a Kähler manifold of positive curvature, Proc. Amer. Math. Soc. 16 (1965), 119-122.
- 22. R. L. Bishop and S. I. Goldberg, Rigidity of positively curved Kähler manifolds, (to appear).Zentralblatt MATH: 0129.35801
Mathematical Reviews (MathSciNet): MR195112
Digital Object Identifier: doi:10.1073/pnas.54.4.1037 - 23. A. Blanchard, Sur les variétés analytiques complexes, Ann. Sci. École Norm. Sup. Paris 73 (1956), 157-202.
- 24. W. Blaschke and G. Bol, Geometrie der Gewebe, Springer, Berlin, 1938.
- 25. A. Borel, Sur la cohomologie des espaces fibrés principaux de groupes de Lie compacts et des espaces homogènes, Ann. of Math. 57 (1953), 115-207.Zentralblatt MATH: 0052.40001
Mathematical Reviews (MathSciNet): MR51508
Digital Object Identifier: doi:10.2307/1969728 - 26. A. Borel and J.-P. Serre, Groupes de Lie et puissances réduits de Steenrod, Amer. J. Math. 75 (1953), 409-448.Zentralblatt MATH: 0050.39603
Mathematical Reviews (MathSciNet): MR58213
Digital Object Identifier: doi:10.2307/2372495 - 27. A. Borel and J.-P. Serre, Le théorème de Riemann-Roch d'après Grothendieck, Bull. Soc. Math. France 86 (1958), 97-136.
- 28. R. Bott, The space of loops on a Lie group, Michigan Math. J. 5 (1958), 35-61.Zentralblatt MATH: 0096.17701
Mathematical Reviews (MathSciNet): MR102803
Digital Object Identifier: doi:10.1307/mmj/1028998010
Project Euclid: euclid.mmj/1028998010 - 29. R. Bott, The stable homotopy of the classical groups, Ann. of Math. 70 (1959), 313-337.Zentralblatt MATH: 0129.15601
Mathematical Reviews (MathSciNet): MR110104
Digital Object Identifier: doi:10.2307/1970106 - 30. R. Bott and S. S. Chern, Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections, Acta Math. 114 (1965), 71-112.Zentralblatt MATH: 0148.31906
Mathematical Reviews (MathSciNet): MR185607
Digital Object Identifier: doi:10.1007/BF02391818 - 31. E. Calabi, On compact riemannian manifolds with constant curvature. I, pp. 155-180, Differential geometry, Proc. Sympos. Pure Math., Vol. 3, Amer. Math. Soc., Providence, R. I., 1961.
- 32. E. Cartan, Sur la structure des groupes infinis de transformations, Ann. Sci. École Norm Sup. Paris 21 (1904), 153-206; ibid., 22 (1905), 219-308 ( = Oeuvres complètes, artie II, pp. 571-714).Mathematical Reviews (MathSciNet): MR1509040
- 33. E. Cartan, Les sousgroupes des groupes continus de transformations, Ann. Sci. École Norm Sup. Paris 25 (1908), 57-194 ( =Oeuvres complètes, Partie II, pp. 719-856).Mathematical Reviews (MathSciNet): MR1509090
- 34. E. Cartan. Les groupes de transformations continus, infinis, simples, Ann. Sci. École Norm Sup. Paris 26 (1909), 93-161 ( = Oeuvres complètes, Partie II, pp. 857-925).Mathematical Reviews (MathSciNet): MR1509105
- 35. E. Cartan, sur la possibilité de plonger un espace riemannien donné dans un espace euclidien, Ann. Soc. Polon. Math. 6 (1927), 1-7 ( = Oeuvres complètes, Partie III, pp. 1091-1097).
- 36. E. Cartan, Les problèmes d'équivalence, Oeuvres complètes, Partie II, 1311-1334.
- 37. E. Cartan, La structure des groupes infinis, Oeuvres complètes, Partie II, 1335-1384.
- 38. H. Cartan, Variétés analytiques complexes et cohomologie, Colloque tenu à Bruxelles, 1953, pp. 41-55; Thone, Liège, 1953.
- 39. S. S. Chern, On the curvatura integra in a riemannian manifold, Ann. of Math. 46 (1945), 674-684.Zentralblatt MATH: 0060.38104
Mathematical Reviews (MathSciNet): MR14760
Digital Object Identifier: doi:10.2307/1969203 - 40. S. S. Chern, Differential geometry of fiber bundles, Vol. II, pp. 397-411. Proc. Internat. Congress Math., 1950.
- 41. S. S. Chern, Pseudo-groupes continus infinis. Geometrie differentielle, Colloquium, Strasbourg, pp. 119-136, 1953, Centre National de la Recherche Scientifique, Paris, 1953.
- 42. S. S. Chern, On curvature and characteristic classes of a Riemann manifold, Abh. Math. Sem. Univ. Hamburg 20 (1955), 117-126.Zentralblatt MATH: 0066.17003
Mathematical Reviews (MathSciNet): MR75647
Digital Object Identifier: doi:10.1007/BF02960745 - 43. S. S. Chern, On a generalization of Kähler geometry, Algebraic geometry and topology (Lefschetz Jubilee Volume), Princeton Univ. Press, Princeton, N.J., 1957, pp. 103-121.
- 44. S. S. Chern and R. Lashof, On the total curvature of immersed manifolds, Amer. J. Math. 79 (1957), 302-318; II, Michigan Math. J 5 (1958), 5-12.Zentralblatt MATH: 0095.35803
Mathematical Reviews (MathSciNet): MR84811
Digital Object Identifier: doi:10.2307/2372684 - 45. S. S. Chern, Complex analytic mappings of Riemann surfaces. I, Amer. J. Math. 82 (1960), 323-337.Zentralblatt MATH: 0103.30104
Mathematical Reviews (MathSciNet): MR115183
Digital Object Identifier: doi:10.2307/2372738 - 46. S. S. Chern, The integrated form of the first main theorem for complex analytic mappings in several complex variables, Ann. of Math. 71 (1960), 536-551.Zentralblatt MATH: 0142.04802
Mathematical Reviews (MathSciNet): MR125979
Digital Object Identifier: doi:10.2307/1969943 - 47. S. S. Chern, Minimal surfaces in an euclidean space of n dimensions, Differential and combinatorial topology (More Jubilee Volume), Princeton University Press, Princeton, N.J., 1965, pp. 187-198.
- 48. M. doCarmo, The cohomology ring of certain Kählerian manifolds, Ann. of Math. 81 (1965), 1-14.Zentralblatt MATH: 0115.39401
Mathematical Reviews (MathSciNet): MR170309
Digital Object Identifier: doi:10.2307/1970378 - 49. N. W. Efimov, Flächenverbiegung im Grossen, Academie Verlag, Berlin, 1957.Mathematical Reviews (MathSciNet): MR105722
- 50. C. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie, Bruxelles, pp. 29-55, 1950; Thone, Liège, 1951.
- 51. C. Ehresmann, Sur la théorie des variétés feuilletées, Univ. Roma 1st. Naz. Alta Rend Mat. e Appl. (5) 10 (1951), 64-82.
- 52. T. Frankel, Manifolds with positive curvature, Pacific J. Math. 11 (1961), 165-174.Zentralblatt MATH: 0107.39002
Mathematical Reviews (MathSciNet): MR123272
Project Euclid: euclid.pjm/1103037541 - 53. A. Fröhlicher and A. Nijenhuis, A theorem on stability of complex structures, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 239-241.Zentralblatt MATH: 0078.14201
Mathematical Reviews (MathSciNet): MR83801
Digital Object Identifier: doi:10.1073/pnas.43.2.239 - 54. R. Godement, Théorie des faisceaux, Actualités Sci Indust. No. 1252, Hermann, Paris, 1958.
- 55. S. I. Goldberg, Curvature and homology, Academic Press, New York, 1962.
- 56. M. Goto, On algebraic homogeneous spaces, Amer. J. Math. 76(1954), 811-818.Zentralblatt MATH: 0056.39803
Mathematical Reviews (MathSciNet): MR66396
Digital Object Identifier: doi:10.2307/2372654 - 57. D. Gromoll, Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären, Dissertation, Univ. of Bonn, Bonn, 1964.Zentralblatt MATH: 0135.40301
- 58. R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, N. J., 1965.
- 59. A. Haefliger, Structures feuilletées et cohomologie à valeur dans un faisceau de groupoides, Comment. Math. Helv. 32 (1958), 248-329.Zentralblatt MATH: 0085.17303
Mathematical Reviews (MathSciNet): MR100269
Digital Object Identifier: doi:10.1007/BF02564582 - 60. A. Haefliger, Variétés feuilletées, Ann. Scuola Norm. Sup. Pisa. 16 (1962), 367-397.
- 61. P. Hartman and A. Wintner, On the embedding problem in differential geometry, Amer. J. Math. 72 (1950), 553-564.Zentralblatt MATH: 0038.33403
Mathematical Reviews (MathSciNet): MR36053
Digital Object Identifier: doi:10.2307/2372053 - 62. S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
- 63. N. J. Hicks, Notes on differential geometry, Math. Studies No. 3, Van Nostrand, New York, 1965.
- 64. F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Math und ihrer Grenzgebiete, 1962.
- 65. F. Hirzebruch, Über eine Klasse von einfach-zusammenhängenden komplexen Mannigfaltigkeiten, Math Ann. 124 (1957), 77-86.Zentralblatt MATH: 0043.30302
Mathematical Reviews (MathSciNet): MR45384
Digital Object Identifier: doi:10.1007/BF01343552 - 66. F. Hirzebruch, Komplexe Mannigfalligkeiten, pp. 119-136, Proc. Internat. Congress Math., 1958.
- 67. F. Hirzebruch and K. Kodaira, On the complex projective spaces, J. Math. Pures Appl. 36 (1957), 201-216.
- 68. W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge Univ. Press, New York, 1952.
- 69. W. Kaplan, Regular curve-families filling the plane, I, Duke Math. J. 7 (1940), 154-185; II, Duke Math. J. 8 (1941), 11-46.Mathematical Reviews (MathSciNet): MR4116
Digital Object Identifier: doi:10.1215/S0012-7094-40-00710-4
Project Euclid: euclid.dmj/1077492251 - 70. W. Klingenberg, Eine Kennzeichnung der Riemannschen sowie der Hermitschen Mannigfaltigkeiten, Math. Z. 70 (1959), 300-309.Zentralblatt MATH: 0116.39301
Mathematical Reviews (MathSciNet): MR105146
Digital Object Identifier: doi:10.1007/BF01558595 - 71. W. Klingenberg, Contributions to riemannian geometry in the large, Ann. of Math. 69 (1959), 654-666.Zentralblatt MATH: 0133.15003
Mathematical Reviews (MathSciNet): MR105709
Digital Object Identifier: doi:10.2307/1970029 - 72. W. Klingenberg, Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung, Comment. Math. Helv. 35 (1961), 47-54.Zentralblatt MATH: 0133.15005
Mathematical Reviews (MathSciNet): MR139120
Digital Object Identifier: doi:10.1007/BF02567004 - 73. W. Klingenberg, On the topology of riemannian manifolds where the conjugate points have a similar distribution as in symmetric spaces of rank 1, Bull. Amer. Math. Soc. 69(1963), 95-100.Zentralblatt MATH: 0108.34704
Mathematical Reviews (MathSciNet): MR144284
Digital Object Identifier: doi:10.1090/S0002-9904-1963-10875-7
Project Euclid: euclid.bams/1183525017 - 74. W. Klingenberg, Neue Methoden und Ergebnisse in der Riemannschen Geometrie, Jber. Deutsch. Math.-Verein. 66 (1964), 85-94.
- 75. S. Kobayashi, Topology of positively pinched Kähler manifolds, Tôhoku Math. J. 15 (1963), 121-139.Zentralblatt MATH: 0114.37601
Mathematical Reviews (MathSciNet): MR154235
Digital Object Identifier: doi:10.2748/tmj/1178243839
Project Euclid: euclid.tmj/1178243839 - 76. S. Kobayashi and T. Nagano, On a fundamental theorem of Weyl-Cartan on G-structures, J. Math. Soc. Japan 17 (1965), 84-101.Zentralblatt MATH: 0136.17805
Mathematical Reviews (MathSciNet): MR192438
Digital Object Identifier: doi:10.2969/jmsj/01710084
Project Euclid: euclid.jmsj/1260975578 - 77. S. Kobayashi and T. Nagano, On filtered Lie algebras and geometric structures. I, J. Math. Mech. 13 (1964), 875-908; II, J. Math. Mech. 14 (1965), 513-521; III, J. Math. Mech. 14 (1965), 679-706; IV, J. Math. Mech. 15 (1966), 163-175; V, (to appear).
- 78. S. Kobayashi and K. Nomizu, Foundations of differential geometry, Vol. 1, Interscience, New York, 1963.
- 79. K. Kodaira, On cohomology groups of compact analytic varieties with coefficients in some analytic faisceaux, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 865-868.Zentralblatt MATH: 0051.14502
Mathematical Reviews (MathSciNet): MR63120
Digital Object Identifier: doi:10.1073/pnas.39.8.865 - 80. K. Kodaira, On a differential geometric method in the theory of analytic stacks, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 1268-1273.Zentralblatt MATH: 0053.11701
Mathematical Reviews (MathSciNet): MR66693
Digital Object Identifier: doi:10.1073/pnas.39.12.1268 - 81. K. Kodaira, On Kähler varieties of restricted type, Ann. of Math. 60 (1954), 28-48.Zentralblatt MATH: 0057.14102
Mathematical Reviews (MathSciNet): MR68871
Digital Object Identifier: doi:10.2307/1969701 - 82. K. Kodaira and D. C. Spencer, Groups of complex line bundles over compact Kähler varieties, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 868-872.Zentralblatt MATH: 0051.14503
Mathematical Reviews (MathSciNet): MR63121
Digital Object Identifier: doi:10.1073/pnas.39.8.868 - 83. K. Kodaira and D. C. Spencer, On deformations of complex analytic structures. I, II, Ann. of Math. 67 (1958), 328-466; III, Ann. of Math. 71 (1960), 43-76.Zentralblatt MATH: 0128.16902
Mathematical Reviews (MathSciNet): MR112154
Digital Object Identifier: doi:10.2307/1970009 - 84. V. Yoh Kraines, Topology of quaternionic manifolds, Bull. Amer. Math. Soc. 71 (1965), 526-527.Zentralblatt MATH: 0134.18001
Mathematical Reviews (MathSciNet): MR198498
Digital Object Identifier: doi:10.1090/S0002-9904-1965-11316-7
Project Euclid: euclid.bams/1183526914 - 85. N. H. Kuiper, On C'-isometric imbeddings. I, Indag. Math. 17 (1955), 545-556; II, Indag. Math. 17 (1955), 683-689.
- 86. M. Kuranishi, On E. Cartan's prolongation theorem of exterior differential systems, Amer. J. Math. 79 (1957), 1-47.Zentralblatt MATH: 0077.29701
Mathematical Reviews (MathSciNet): MR81957
Digital Object Identifier: doi:10.2307/2372381 - 87. M. Kuranishi, On the locally complete families of complex analytic structures, Ann. of Math. 75 (1962), 536-577.Zentralblatt MATH: 0106.15303
Mathematical Reviews (MathSciNet): MR141139
Digital Object Identifier: doi:10.2307/1970211 - 88. M. Kuranishi, New proof for the existence of locally complete families of complex structures, pp. 142-154, Proc. Conf. Comp. Anal., Minneapolis, 1964, Springer, Berlin, 1965.
- 89. S. Lang, Fonctions implicites et plongements riemanniens, Séminaire Bourbaki, No. 237, 1961-1962.Zentralblatt MATH: 0116.38405
- 90. S. Lang, Introduction to differentiable manifolds, Interscience, New York, 1962.
- 91. H. Lewy, On the existence of a closed convex surface realizing a given riemannian metric, Proc. Nat. Acad. Sci. U.S.A. 24 (1938), 104-106.
- 92. H. Levine, A theorem on holomorphic mappings into complex projective space, Ann. of Math. 71 (1960), 529-535.Zentralblatt MATH: 0142.04801
Mathematical Reviews (MathSciNet): MR117757
Digital Object Identifier: doi:10.2307/1969942 - 93. P. Liebermann, Problèmes d'équivalence relatifs à une structure presque complexe sur une variété à quatre dimensions, Acad. Roy. Belg. Bull. Cl. Sci. (5) 36 (1950), 742-755.
- 94. A. Lichnerowicz, Théorie globale des connexions et des groupes d'holonomie, Edizioni Cremonese, Rome, 1957.
- 95. E. L. Lima, Commuting vector fields on S3, Ann. of Math. 81 (1965), 70-81.Zentralblatt MATH: 0137.17801
Mathematical Reviews (MathSciNet): MR171286
Digital Object Identifier: doi:10.2307/1970383 - 96. J. Milnor, Lectures on characteristic classes, mimeographed notes, Univ. of Princeton, Princeton, N.J., 1958 (to appear).
- 97. J. Moser, A new technique for the construction of solutions of nonlinear differential equations, Proc. Nat. Acad. Sci. U.S.A. 47 (1961), 1824-1831.Zentralblatt MATH: 0104.30503
Mathematical Reviews (MathSciNet): MR132859
Digital Object Identifier: doi:10.1073/pnas.47.11.1824 - 98. S. Myers, Riemannian manifolds with positive mean curvature, Duke Math. J. 8 (1941), 401-404.Zentralblatt MATH: 0025.22704
Mathematical Reviews (MathSciNet): MR4518
Digital Object Identifier: doi:10.1215/S0012-7094-41-00832-3
Project Euclid: euclid.dmj/1077492655 - 99. J. Nash, C'-isometric imbeddings, Ann. of Math. 60 (1954), 383-396.Zentralblatt MATH: 0058.37703
Mathematical Reviews (MathSciNet): MR65993
Digital Object Identifier: doi:10.2307/1969840 - 100. J. Nash, The embedding problem for riemannian manifolds, Ann. of Math. 63 (1956), 20-63.Zentralblatt MATH: 0070.38603
Mathematical Reviews (MathSciNet): MR75639
Digital Object Identifier: doi:10.2307/1969989 - 101. A. Newlander and L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. of Math. 65 (1957), 391-404.Zentralblatt MATH: 0079.16102
Mathematical Reviews (MathSciNet): MR88770
Digital Object Identifier: doi:10.2307/1970051 - 102. J. C. C. Nitsche, On new results in the theory of minimal surfaces, Bull. Amer. Math. Soc. 71 (1965), 195-270.Zentralblatt MATH: 0135.21701
Mathematical Reviews (MathSciNet): MR173993
Digital Object Identifier: doi:10.1090/S0002-9904-1965-11276-9
Project Euclid: euclid.bams/1183526639 - 103. A. Nijenhuis and W. B. Woolf, Some integration problems in almost complex and complex manifolds, Ann. of Math. 77 (1963), 424-489.Zentralblatt MATH: 0115.16103
Mathematical Reviews (MathSciNet): MR149505
Digital Object Identifier: doi:10.2307/1970126 - 104. L. Nirenberg, The Weyl and Minkowski problems in differential geometry in the large, Comm. Pure Appl. Math. 6 (1953), 337-394.Zentralblatt MATH: 0051.12402
Mathematical Reviews (MathSciNet): MR58265
Digital Object Identifier: doi:10.1002/cpa.3160060303 - 105. L. Nirenberg, Rigidity of a class of closed surfaces, Nonlinear problems, R. E. Langer (Editor) 1963, pp. 177-193.
- 106. S. P. Novikov, Foliations of codimension 1 on manifolds, Soviet Math. Dokl. 5 (1964), 540-544.Zentralblatt MATH: 0135.41402
- 107. R. Osserman, Global properties of minimal surfaces in E3 and En, Ann. of Math. 80 (1964), 340-364.Zentralblatt MATH: 0134.38502
Mathematical Reviews (MathSciNet): MR179701
Digital Object Identifier: doi:10.2307/1970396 - 108. R. Palais, Seminar on the Atiyah-Singer index theorem, Annals of Mathematics Studies, Princeton Univ. Press, Princeton, N. J., 1965.
- 109. M. M. Peixoto, Structural stability on two-dimensional manifolds, Topology 1 (1962), 101-120.Zentralblatt MATH: 0107.07103
Mathematical Reviews (MathSciNet): MR142859
Digital Object Identifier: doi:10.1016/0040-9383(65)90018-2 - 110. F. Peterson, Some remarks on Chern classes, Ann. of Math. 69 (1959), 414-420.Zentralblatt MATH: 0123.16502
Mathematical Reviews (MathSciNet): MR102807
Digital Object Identifier: doi:10.2307/1970191 - 111. I. R. Porteous, Blowing up Chern classes, Proc. Cambridge Philos. Soc. 56 (1960), 118-124.Zentralblatt MATH: 0166.16701
Mathematical Reviews (MathSciNet): MR121813
Digital Object Identifier: doi:10.1017/S0305004100034368 - 112. A. Preissmann, Quelques propriétés globales des espaces de Riemann, Comment. Math. Helv. 15 (1942-1943), 175-216.Zentralblatt MATH: 0027.25903
Mathematical Reviews (MathSciNet): MR10459
Digital Object Identifier: doi:10.1007/BF02565638 - 113. C. C. Pugh, The closing lemma, Amer. J. Math, (to appear).Zentralblatt MATH: 0167.21803
Mathematical Reviews (MathSciNet): MR226669
Digital Object Identifier: doi:10.2307/2373413 - 114. H. E. Rauch, A contribution to differential geometry in the large, Ann. of Math. 54 (1951), 38-55.Zentralblatt MATH: 0043.37202
Mathematical Reviews (MathSciNet): MR42765
Digital Object Identifier: doi:10.2307/1969309 - 115. H. E. Rauch, Geodesies and curvature in differential geometry in the large, Yeshiva Univ., New York, 1959.
- 116. G. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust. No. 1183, Hermann, Paris, 1952.
- 117. G. Reeb, Sur la théorie générale des systèmes dynamiques, Ann. Inst. Fourier (Grenoble) 6 (1952), 89-115.Zentralblatt MATH: 0071.11001
Mathematical Reviews (MathSciNet): MR81464
Digital Object Identifier: doi:10.5802/aif.61 - 118. G. Reeb, Sur une généralisation d'une théorème de M. Denjoy, Ann. Inst. Fourier (Grenoble) 11 (1961), 185-200.Zentralblatt MATH: 0136.20901
Mathematical Reviews (MathSciNet): MR131283
Digital Object Identifier: doi:10.5802/aif.113 - 119. G. de Rham, Variétés differentiables, Hermann, Paris, 1955.
- 120. A. J. Schwartz, A generalization of a Poincaré-Bendixson theorem to closed two-dimensional manifolds, Amer. J. Math. 85 (1963), 453-458.
- 121. H. Seifert, Closed integral curves in three-space and isotopic two-dimensional deformations, Proc. Amer. Math. Soc. 1 (1950), 287-302.
- 122. J.-P. Serre, Un théorème de dualité, Comment. Math. Helv. 29 (1955), 9-26.Zentralblatt MATH: 0067.16101
Mathematical Reviews (MathSciNet): MR67489
Digital Object Identifier: doi:10.1007/BF02564268 - 123. J.-P. Serre, Faisceaux algébriques cohérents, Ann. of Math. 61 (1955), 197-278.Zentralblatt MATH: 0067.16201
Mathematical Reviews (MathSciNet): MR68874
Digital Object Identifier: doi:10.2307/1969915 - 124. J.-P. Serre, Représentations linéaires et espaces homogènes kähleriens des groupes de Lie compacts, Séminaire Bourbaki, No. 100, 1954.Zentralblatt MATH: 0121.16203
- 125. C. L. Siegel, Note on differential equations on the torus, Ann. of Math. 46 (1945), 423-428.Zentralblatt MATH: 0061.19510
Mathematical Reviews (MathSciNet): MR13177
Digital Object Identifier: doi:10.2307/1969161 - 126. I. M. Singer and S. Sternberg, The infinite group of Lie and Cartan, J. Analyse Math. 15 (1965), 1-114.Zentralblatt MATH: 0277.58008
Mathematical Reviews (MathSciNet): MR217822
Digital Object Identifier: doi:10.1007/BF02787690 - 127. E. H. Spanier, The homology of Kummer manifolds, Proc. Amer. Math. Soc. 7 (1956), 155-160.Zentralblatt MATH: 0070.18105
Mathematical Reviews (MathSciNet): MR87188
Digital Object Identifier: doi:10.1090/S0002-9939-1956-0087188-3 - 128. N. Steenrod, The topology of fibre bundles, Princeton Univ. Press, Princeton, N. J., 1951.
- 129. S. Sternberg, Lectures on differential geometry, Prentice-Hall, Englewood Cliffs, N. J., 1964.
- 130. O. Veblen and J. H. C. Whitehead, The foundations of differential geometry, Cambridge Univ. Press, New York, 1932.Zentralblatt MATH: 0005.21801
- 131. K. Voss, Differentialgeometrie geschlossener Flächen im euklidischen Raum. I, Jber. Deutscher. Math.-Verein 63 (1960-1961), 117-136.
- 132. H. C. Wang, Two-point homogeneous spaces, Ann. of Math. 55 (1952), 177-191.Zentralblatt MATH: 0048.40503
Mathematical Reviews (MathSciNet): MR47345
Digital Object Identifier: doi:10.2307/1969427 - 133. H. C. Wang, Closed manifolds with homogeneous complex structure, Amer. J. Math. 76 (1954), 1-32.Zentralblatt MATH: 0055.16603
Mathematical Reviews (MathSciNet): MR66011
Digital Object Identifier: doi:10.2307/2372397 - 134. A. Weil, Introduction a l'étude des variétés kähleriennes, Hermann, Paris, 1958.
- 135. A. Weil, Un théorème fondamental de Chern en géométrie riemannienne, Seminaire Bourbaki, No. 239, 1961-1962.Zentralblatt MATH: 0116.38801
- 136. H. Weyl, Raum, Zeit, Materie, 5th ed., Berlin, 1923; English transl., Dover, New York, 1950.Zentralblatt MATH: 0186.28602
- 137. H. Weyl, Meromorphic functions and analytic curves, Annals of Mathematics Studies No. 12, Princeton Univ. Press, Princeton, N. J., 1943.
- 138. H. Weyl, Über die Bestimmung einer geschlossenen konvexen Fläche durch ihr Linienelement, Vierteljarsch. Naturforsch. Ges. Zürich 61 (1916), 40-72; Selecta Hermann Weyl, pp. 148-178, Birkhäuser Verlag, Basel, 1956.
- 139. W. T. Wu, Sur les classes caractéristiques des structures fibrées sphériques, Actualités Sci. Indust., Hermann, Paris, 1952.
- 140. H. Yamabe, On deformation of riemannian structures on compact manifolds, Osaka Math. J. 12 (1960), 21-37.
- 141. K. Yano and S. Bochner, Curvature and Betti numbers, Annals of Mathematics Studies No. 32, Princeton Univ. Press, Princeton, N. J., 1953.
American Mathematical Society

- You have access to this content.
- You have partial access to this content.
- You do not have access to this content.
More like this
- Geometry of Twisted Sasaki Metric
Belarbi, Lakehal and Elhendi, Hichem, Journal of Geometry and Symmetry in Physics, 2019 - Latent Quaternionic Geometry
GAMBIOLI, Andrea, Tokyo Journal of Mathematics, 2008 - On the Arakelov Geometry of Moduli Spaces of Curves
Hain, Richard and Reed, David, Journal of Differential Geometry, 2004
- Geometry of Twisted Sasaki Metric
Belarbi, Lakehal and Elhendi, Hichem, Journal of Geometry and Symmetry in Physics, 2019 - Latent Quaternionic Geometry
GAMBIOLI, Andrea, Tokyo Journal of Mathematics, 2008 - On the Arakelov Geometry of Moduli Spaces of Curves
Hain, Richard and Reed, David, Journal of Differential Geometry, 2004 - Quasi-Hamiltonian geometry of meromorphic connections
Boalch, Philip, Duke Mathematical Journal, 2007 - The Hamiltonian geometry of the space of unitary connections with symplectic curvature
Fine, Joel, Journal of Symplectic Geometry, 2014 - Volume minimization and conformally Kähler, Einstein–Maxwell geometry
FUTAKI, Akito and ONO, Hajime, Journal of the Mathematical Society of Japan, 2018 - Geometry of pseudocharacters
Manning, Jason Fox, Geometry & Topology, 2005 - Green's functions, electric networks, and the geometry of hyperbolic Riemann surfaces
Diller, Jeffrey, Illinois Journal of Mathematics, 2001 - Categorified symplectic geometry and the string Lie
2-algebra
Baez, John C. and Rogers, Christopher L., Homology, Homotopy and Applications, 2010 - On the Geometry of Chains
Čap, Andreas and Žádník, Vojtěch, Journal of Differential Geometry, 2009
