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Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below. (English) Zbl 1295.53034

Summary: 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.

MSC:

53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)
53C24 Rigidity results
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