Manifolds with minimal radial curvature bounded from below and big volume

Marenich, Valery

doi:10.1090/S0002-9947-00-02634-9

Manifolds with minimal radial curvature bounded from below and big volume
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Trans. Amer. Math. Soc. 352 (2000), 4451-4468 Request permission

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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