Asymptotic topological regularity of CAT(0) spaces

被引：0
|
作者：
Nagano, Koichi [1 ]
机构：
[1] Univ Tsukuba, Inst Math, Tennodai 1-1-1, Tsukuba, Ibaraki 3058571, Japan
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2022年 / 61卷 / 02期
关键词：
CAT(0) space; CAT(kappa) space; LOCAL-STRUCTURE; RIGIDITY; ISOMETRIES; THEOREM;
D O I：
10.1007/s10455-021-09820-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study asymptotic topological regularity of CAT(0) spaces. We prove that if a purely n-dimensional, proper, geodesically completeCAT(0) space has small volume growth, then it is homeomorphic to the n-dimensional Euclidean space. We also discuss asymptotic geometry of proper, geodesically complete CAT(0) spaces of small volume growth.
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页码：427 / 457
页数：31
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