Constructing infra-nilmanifolds admitting an Anosov diffeomorphism |
| |
| Authors: | Karel Dekimpe Kelly Verheyen |
| |
| Institution: | K.U.Leuven Campus Kortrijk, Universitaire campus, B-8500 Kortrijk, Belgium |
| |
| Abstract: | 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. |
| |
| Keywords: | Infra-nilmanifold Anosov diffeomorphism Free nilpotent Lie group |
| 本文献已被 ScienceDirect 等数据库收录！ |
