English

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

Differential Geometry 2015-06-24 v2

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

Cite

@article{arxiv.1310.8373,
  title  = {Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below},
  author = {Nan Li and Feng Wang},
  journal= {arXiv preprint arXiv:1310.8373},
  year   = {2015}
}