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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Published electronically: June 14, 2000
MathSciNet review: 1779483
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Abstract:

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: http://dx.doi.org/10.1090/S0002-9947-00-02634-9
PII: S 0002-9947(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