Proof of the soul conjecture of Cheeger and Gromoll
G. Perelman
Source: J. Differential Geom. Volume 40, Number 1
(1994), 209-212.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214455292
Mathematical Reviews number (MathSciNet): MR1285534
Zentralblatt MATH identifier: 0818.53056
References
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Zentralblatt MATH: 0113.37003
Mathematical Reviews (MathSciNet): MR143159
Project Euclid: euclid.ijm/1255632714
[2] J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. 96 (1972) 413-443.
Zentralblatt MATH: 0246.53049
Mathematical Reviews (MathSciNet): MR309010
Digital Object Identifier: doi:10.2307/1970819
JSTOR: links.jstor.org
[3] D. Gromoll and W. T. Meyer, On complete open manifolds of positive curvature, Ann. of Math. 90 (1969) 75-90.
Zentralblatt MATH: 0191.19904
Mathematical Reviews (MathSciNet): MR247590
Digital Object Identifier: doi:10.2307/1970682
JSTOR: links.jstor.org
[4] V. Marenich, Structure of open manifolds of nonnegative curvatureI, II. Siberian Advances in Math. 2 (1992), no. 4, 104-146; 3 (1993) no. 1, 129-151.
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Mathematical Reviews (MathSciNet): MR1236756
[5] V. Sharafutdinov, Pogorelov-Klingenberg theorem for manifolds homeomorphic to Rn Sibirsk. Math. Zh. 18 (1977) 915-925.
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Mathematical Reviews (MathSciNet): MR487896
[6] G. Walschap, Nonnegatively curved manifolds with souls of codimension 2, J. Differential Geometry 27 (1988) 525-537.
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Mathematical Reviews (MathSciNet): MR940117
Project Euclid: euclid.jdg/1214442007
Journal of Differential Geometry
