Manifolds with minimal radial curvature bounded from below and big volume

Author:
Valery Marenich

Journal:
Trans. Amer. Math. Soc. **352** (2000), 4451-4468

MSC (1991):
Primary 53C20, 53C21

DOI:
https://doi.org/10.1090/S0002-9947-00-02634-9

Published electronically:
June 14, 2000

MathSciNet review:
1779483

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Abstract | References | Similar Articles | Additional Information

We prove that a convergence in the Gromov-Hausdorff distance of manifolds with minimal radial curvature bounded from below by 1 to the standard sphere is equivalent to a volume convergence.

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Additional Information

**Valery Marenich**

Affiliation:
IMECC - UNICAMP, Campinas, Brazil

Email:
marenich@ime.unicamp.br

DOI:
https://doi.org/10.1090/S0002-9947-00-02634-9

Keywords:
Sphere theorems,
radial minimal curvature

Received by editor(s):
February 3, 1999

Published electronically:
June 14, 2000

Additional Notes:
Supported by FAPERJ and CNPq

Article copyright:
© Copyright 2000
American Mathematical Society