NON-COLLAPSED SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

被引：74

作者：

De Philippis, Guido ^{[1
]}

Gigli, Nicola ^{[1
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

来源：

JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES | 2018年 / 5卷

关键词：

Ricci curvature bounded from below; non-collapsed spaces;

D O I：

10.5802/jep.80

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding's volume convergence theorem and of Cheeger-Colding dimension gap estimate for RCD spaces. In particular this establishes the stability of non-collapsed spaces under non-collapsed Gromov-Hausdorff convergence.

引用

页码：613 / 650

页数：38

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