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Manifolds with minimal radial curvature bounded from below and big volume
Author(s):
Valery
Marenich
Journal:
Trans. Amer. Math. Soc.
352
(2000),
4451-4468.
MSC (1991):
Primary 53C20, 53C21
Posted:
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.
References:
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Additional Information:
Valery
Marenich
Affiliation:
IMECC - UNICAMP, Campinas, Brazil
Email:
marenich@ime.unicamp.br
DOI:
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
Posted:
June 14, 2000
Additional Notes:
Supported by FAPERJ and CNPq
Copyright of article:
Copyright
2000,
American Mathematical Society
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