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
收藏
页码：441 / 461
页数：21
相关论文
共 50 条
12345