A Morse lemma for quasigeodesics in symmetric spaces and euclidean buildings

被引：47

作者：

Kapovich, Michael ^{[1
]}

Leeb, Bernhard

Porti, Joan

机构：

[1] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

来源：

GEOMETRY & TOPOLOGY | 2018年 / 22卷 / 07期

关键词：

D O I：

10.2140/gt.2018.22.3827

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Morse lemma for regular quasigeodesics in nonpositively curved symmetric spaces and euclidean buildings. We apply it to give a new coarse geometric characterization of Anosov subgroups of the isometry groups of such spaces simply as undistorted subgroups which are uniformly regular.

引用

页码：3827 / 3923

页数：97

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