On the isometry group of RCD*(K, N)-spaces

被引：0

作者：

Guijarro, Luis ^{[1
,2
]}

Santos-Rodriguez, Jaime ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Math, Madrid, Spain

[2] ICMAT CSIC UAM UCM UC3M, Madrid, Spain

来源：

MANUSCRIPTA MATHEMATICA | 2019年 / 158卷 / 3-4期

关键词：

METRIC-MEASURE-SPACES; RICCI CURVATURE; GEOMETRY;

D O I：

10.1007/s00229-018-1010-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the group of isometries of a metric measure space that satisfies the Riemannian curvature condition, RCD*(K, N), is a Lie group. We obtain an optimal upper bound on the dimension of this group, and classify the spaces where this maximal dimension is attained.

引用

页码：441 / 461

页数：21

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