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

Nan Li; Feng Wang

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

机译：Ricci曲率从下方定界的极限空间的Lipschitz体积刚度

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摘要

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.

机译：我们证明了Ricci曲率从下面限定边界的流形的非塌陷Gromov-Hausdorff极限的Lipschitz-Volume刚性定理。这与Alexandrov几何中的Lipschitz-Volume刚度相对应。

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《Differential geometry and its applications》 |2014年第null期|共6页
作者
Nan Li; Feng Wang;
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原文格式 PDF
正文语种 eng
中图分类微分几何;
关键词
Ricci curvature; Volume; Rigidity; Lipschitz map; Gromov—Hausdorff convergence; Comparison; Cheeger—Colding;

机译：Ricci曲率;体积;刚度;Lipschitz图;Gromov-Hausdorff收敛;比较;Cheeger-冷;

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专利

1. Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below [J] . Nan Li, Feng Wang Differential geometry and its applications . 2014,第Null期

机译：Ricci曲率从下方定界的极限空间的Lipschitz体积刚度
2. QUANTITATIVE VOLUME SPACE FORM RIGIDITY UNDER LOWER RICCI CURVATURE BOUND II [J] . Chen Lina, Rong Xiaochun, Xu Shicheng Transactions of the American Mathematical Society . 2018,第6期

机译：下Ricci曲率绑定II下的定量体积空间形成刚性
3. On dimensions of tangent cones in limit spaces with lower Ricci curvature bounds [J] . VitaliKapovitch, NanLi Journal fur die Reine und Angewandte Mathematik . 2018,第742期

机译：下部RICCI曲率界限的切线锥体的尺寸
4. Couplings of the Brownian motion via discreteapproximation under lower Ricci curvature bounds [C] . Kazumasa Kuwada Conference on Probabilistic Approach to Geometry . 2010

机译：褐色运动通过较低的RICCI曲率界定通过独立展开的耦合
5. On manifolds with Ricci curvature lower bound and Kahler manifolds with nonpositive bisectional curvature. [D] . Liu, Gang. 2013

机译：在具有Ricci曲率的下歧管和具有非正二等分曲率的Kahler歧管上。
6. Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below [O] . Rostislav Matveev, Jacobus W. Portegies -1

机译：Ricci曲率界在下面的流形的本征平面和Gromov-Hausdorff收敛
7. Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below [O] . Li, Nan, Wang, Feng 2015

机译：具有Ricci曲率有界的极限空间上的Lipschitz-体积刚度从下面

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

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