On the topology of positively curved {4}-manifolds with symmetry
Wu-Yi Hsiang and Bruce Kleiner
Source: J. Differential Geom. Volume 29, Number 3
(1989), 615-621.
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Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214443064
Mathematical Reviews number (MathSciNet): MR992332
Zentralblatt MATH identifier: 0674.53047
References
[1] J. Cheeger, Some examples of manifolds of nonnegative curvature, 3. Differential Geometry 8 (1973), 623-628.
Zentralblatt MATH: 0281.53040
Mathematical Reviews (MathSciNet): MR341334
Project Euclid: euclid.jdg/1214431964
[2] J. Cheeger and D. Ebin, Comparison theorems in Riemannian geometry, North-Holland, Amsterdam, 1975.
Zentralblatt MATH: 0309.53035
Mathematical Reviews (MathSciNet): MR458335
[3] S. S. Chern, Differential geometry, its past and future, International Congress of Mathematicians, Nice, 1970.
Zentralblatt MATH: 0232.53001
[4] 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
[5] M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982) no. 3, 357-453.
Zentralblatt MATH: 0528.57011
Mathematical Reviews (MathSciNet): MR679066
Project Euclid: euclid.jdg/1214437136
[6] D. Gromoll and W. Meyer, On complete open manifolds of positive curvature, Ann. of Math. (2) 90 (1969) 45-90.
Zentralblatt MATH: 0191.19904
Mathematical Reviews (MathSciNet): MR247590
Digital Object Identifier: doi:10.2307/1970682
JSTOR: links.jstor.org
[7] R. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geometry 17 (1982) no. 2, 255-306.
Zentralblatt MATH: 0504.53034
Mathematical Reviews (MathSciNet): MR664497
Project Euclid: euclid.jdg/1214436922
[8] S. Kobayashi, Transformation groups in differential geometry, Springer, New York, 1972.
Zentralblatt MATH: 0246.53031
Mathematical Reviews (MathSciNet): MR355886
[9] B. O'Neill, The fundamental equations of a submersion, Michigan J. Math. 13 (1966), 459-469.
Zentralblatt MATH: 0145.18602
Mathematical Reviews (MathSciNet): MR200865
Digital Object Identifier: doi:10.1307/mmj/1028999604
Project Euclid: euclid.mmj/1028999604
[10] J. L. Synge, On the connectivity of spaces of positive curvature, Quart. J. Math. Oxford Ser. 7 (1936), 316-320.
[11] V. A. Toponogov, Riemannian spaces with curvature bounded below, Uspehi Mat. Nauk. 14 (1959) no. 1, pp. 87-130.
Zentralblatt MATH: 0136.42904
Mathematical Reviews (MathSciNet): MR103510
Journal of Differential Geometry
