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

Jacobus W. Portegies; Rostislav Matveev

arxiv: 1510.07547 · v1 · pith:LBFGMVT6new · submitted 2015-10-26 · 🧮 math.DG · math.MG

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

Rostislav Matveev , Jacobus W. Portegies This is my paper

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keywords boundedconvergencebelowcurvatureflatgromov-hausdorffintrinsicmanifolds

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

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