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.
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页码：613 / 650
页数：38
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