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

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.

18 pages

References in corpus (2)

• Properties of the Intrinsic Flat Distance
• Intrinsic flat convergence with bounded Ricci curvature

Cited by in corpus (2)

• On the Sormani-Wenger Intrinsic Flat Convergence of Alexandrov Spaces
• Sewing Riemannian Manifolds with Positive Scalar Curvature