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Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below

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arxiv 1310.8373 v2 pith:DOJ6VY3Q submitted 2013-10-31 math.DG

classification math.DG
keywords lipschitz-volumerigiditybelowboundedcurvaturericcialexandrovcounterpart
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We prove a Lipschitz-Volume rigidity theorem for the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below. This is a counterpart of the Lipschitz-Volume rigidity in Alexandrov geometry.

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