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

来源：

ADVANCES IN MATHEMATICS | 2011年 / 228卷 / 06期

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.

引用

页码：3300 / 3319

页数：20

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