Proof of the soul conjecture of Cheeger and Gromoll

Journal of Differential Geometry

Volumn 40, Issue 1, 1994, Pages 209-212

  Perelman, G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972492746     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214455292     Document Type: Article

References (6)

1. M. Berger, An extension of Rauch's metric comparison theorem and some applications, Illinois J. Math. 6 (1962) 700-712.
2. J. Cheeger & D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. 96 (1972) 413-443.
3. D. Gromoll & W. T. Meyer, On complete open manifolds of positive curvature, Ann. of Math. 90 (1969) 75-90.
4. V. Marenich, Structure of open manifolds of nonnegative curvature I, II. Siberian Advances in Math. 2 (1992), no. 4, 104-146; 3 (1993) no. 1, 129-151.
5. n, Sibirsk. Math. Zh. 18 (1977) 915-925.
6. G. Walschap, Nonnegatively curved manifolds with souls of codimension 2, J. Differential Geometry 27 (1988) 525-537.