Journal
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Volume 35, Issue -, Pages 50-55Publisher
ELSEVIER
DOI: 10.1016/j.difgeo.2014.05.005
Keywords
Ricci curvature; Volume; Rigidity; Lipschitz map; Gromov-Hausdorff convergence; Comparison; Cheeger-Colding
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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. (C) 2014 Elsevier B.V. All rights reserved.
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