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Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below |
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| Institution: | 1. Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA;2. Department of Mathematics, School of Mathematical Science of Peking University, Beijing, China |
| Abstract: | 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. |
| Keywords: | Ricci curvature Volume Rigidity Lipschitz map Gromov–Hausdorff convergence Comparison Cheeger–Colding |
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