Constructing infra-nilmanifolds admitting an Anosov diffeomorphism

被引:7
|
作者
Dekimpe, Karel [1 ]
Verheyen, Kelly [1 ]
机构
[1] KU Leuven Campus Kortrijk, B-8500 Kortrijk, Belgium
关键词
Infra-nilmanifold; Anosov diffeomorphism; Free nilpotent Lie group; NILMANIFOLDS; AUTOMORPHISMS; DIMENSION; EXAMPLES;
D O I
10.1016/j.aim.2011.08.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we establish an algebraic characterization of those infra-nilmanifolds modeled on a free c-step nilpotent Lie group and with an abelian holonomy group admitting an Anosov diffeomorphism. We also develop a new method for constructing examples of infra-nilmanifolds having an Anosov diffeomorphism. (C) 2011 Elsevier Inc. All rights reserved.
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页码:3300 / 3319
页数:20
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