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

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.

References in corpus (3)

• Differentiable Rigidity under Ricci curvature lower bound
• Lipschitz-Volume rigidity in Alexandrov geometry
• Relatively maximum volume rigidity in Alexandrov geometry