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arXiv · 1510.07547

Intrinsic flat and Gromov-Hausdorff convergence of manifolds with Ricci curvature bounded below

Rostislav Matveev·Jacobus W. Portegies
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Abstract

We show that for a noncollapsing sequence of closed, connected, oriented Riemannian manifolds with Ricci curvature uniformly bounded from below and diameter uniformly bounded above, Gromov-Hausdorff convergence essentially agrees with intrinsic flat convergence.

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Rostislav Matveev, Jacobus W. Portegies. 2015-10-26. Intrinsic flat and Gromov-Hausdorff convergence of manifolds with Ricci curvature bounded below. https://arxiv.org/abs/1510.07547

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