Variétés kählériennes à première classe de Chern non negative et variétés riemanniennes à courbure de Ricci généralisée non negative
André Lichnerowicz
Source: J. Differential Geom. Volume 6, Number 1
(1971), 47-94.
First Page:
Show
Hide
Primary Subjects:
53C55
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214430218
Mathematical Reviews number (MathSciNet): MR0300228
Zentralblatt MATH identifier: 0231.53063
References
[1] S. Bergman, Sur les functions orthogonales de plusieurs variables complexes avec les applications a la theorie des functions analytiques, Mem. Sci. Math. 106 (1947), Sur la fonction-noyau d'un domaine et ses applications dans la theorie des transformations pseudo-conformes, Mem. Sci. Math. 108 (1948).
Zentralblatt MATH: 0036.05101
[2] A. Blanchard, Sur les varietes analytiques complexes, Ann. Sci. Ecole Norm. Sup. 73 (1956) 157-202.
Zentralblatt MATH: 0073.37503
Mathematical Reviews (MathSciNet): MR87184
[3] A. Borel, Groupes lineaires algebriques, Ann. of Math. 64 (1956) 20-82.
Zentralblatt MATH: 0070.26104
Mathematical Reviews (MathSciNet): MR93006
Digital Object Identifier: doi:10.2307/1969949
[4] A. Borel and R. Remmert, Uber kompakte homogene Kahlersche mannigfaltigkeiten, Math. Ann. 145 (1962) 429-439.
Zentralblatt MATH: 0111.18001
Mathematical Reviews (MathSciNet): MR145557
Digital Object Identifier: doi:10.1007/BF01471087
[5] E. Calabi, On Kahler manifolds with vanishing canonical class, Algebraic geometry and topology, A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, 1957, 78-89.
Zentralblatt MATH: 0080.15002
Mathematical Reviews (MathSciNet): MR85583
[6] J. Cheeger and D. Gromoll, The structure of complete manifolds of nonnegative curvature, Bull. Amer. Math. Soc. 74 (1968) 1147-1150, The splitting theorem for manifolds of nonnegative Ricci curvature, J. Differential Geometry 6 (1971) pagination of the 5th article of the same issue.
Zentralblatt MATH: 0169.24101
Mathematical Reviews (MathSciNet): MR232310
Digital Object Identifier: doi:10.1090/S0002-9904-1968-12088-9
Project Euclid: euclid.bams/1183530120
[7] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160.
Zentralblatt MATH: 0122.40102
Mathematical Reviews (MathSciNet): MR164306
Digital Object Identifier: doi:10.2307/2373037
JSTOR: links.jstor.org
[8] P. Hartman, On homotopic harmonic maps, Canad. J. Math. 19 (1967) 673-687.
Zentralblatt MATH: 0148.42404
Mathematical Reviews (MathSciNet): MR214004
[9] S. Kobayashi, Geometry of bounded domains, Trans. Amer. Math. Soc. 92 (1959) 267-290.
Zentralblatt MATH: 0136.07102
Mathematical Reviews (MathSciNet): MR112162
Digital Object Identifier: doi:10.2307/1993156
JSTOR: links.jstor.org
[10] S. Kobayashi, On compact Kahler manifolds with positive definite Ricci tensor, Ann. of Math. 74 (1961) 570-574.
Zentralblatt MATH: 0107.16002
Mathematical Reviews (MathSciNet): MR133086
Digital Object Identifier: doi:10.2307/1970298
JSTOR: links.jstor.org
[11] A. Lichnerowicz, Isomtries et transformations analytiques d'une variete kahlerienne compacte, Bull. Soc. Math. France 87 (1959) 427-437.
Zentralblatt MATH: 0192.28403
Mathematical Reviews (MathSciNet): MR114187
[12] A. Lichnerowicz, Varietes complexes et tenseur de Bergmann, Ann. Inst. Fourier (Grenoble) 15 (1965) 345-407.
Zentralblatt MATH: 0134.05903
Mathematical Reviews (MathSciNet): MR192519
[13] A. Lichnerowicz, Varietes kahleriennes et premiere classe de Chern, J. Differential Geometry 1 (1967) 195-223.
Zentralblatt MATH: 0167.20004
Mathematical Reviews (MathSciNet): MR226561
Project Euclid: euclid.jdg/1214428089
[14] A. Lichnerowicz, Kahler manifolds and first Chern class, Colloquium Stanford-Berkeley, Octobre, 1967.
[15] A. Lichnerowicz, a) Sur les applications harmoniques, C. R. Acad. Sci. Paris 267 (1968) 548- 553; b) Varietes kahleriennes a premiere classe de Chern positive ou nulle, C. R. Acad. Sci. Paris 268 (1969) 876-880; c) Applications harmoniques dans un tore, C. R. Acad. Sci. Paris 269 (1969) 912-916.
Zentralblatt MATH: 0184.25002
Mathematical Reviews (MathSciNet): MR234495
[16] Y. Matsushima, Holomorphic vector fields and the first Chern class of a Hodge manifold, J. Differential Geometry 3 (1969) 477-480.
Zentralblatt MATH: 0201.25902
Mathematical Reviews (MathSciNet): MR273553
Project Euclid: euclid.jdg/1214429068
[17] S. B. 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
[18] V. A. Toponogov, Riemannian spaces which contain straight lines, Amer. Math. Soc. Transl. (2) 37 (1964) 287-290.
Zentralblatt MATH: 0138.42902
Journal of Differential Geometry