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ANOSOV DIFFEOMORPHISMS ON A CLASS OF 2-STEP NILMANIFOLDS

Published online by Cambridge University Press:  31 July 2003

KAREL DEKIMPE  and
SANDRA DESCHAMPS
KAREL DEKIMPE
Affiliation:
Katholieke Universiteit Leuven, Campus Kortrijk B-8500 Kortrijk, Belgium e-mail: karel.dekimpe@kulak.ac.be
SANDRA DESCHAMPS
Affiliation:
Katholieke Universiteit Leuven, Campus Kortrijk B-8500 Kortrijk, Belgium
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Abstract

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In this paper we study nilmanifolds which are modeled on a quotient of a free 2-step nilpotent Lie group by a 1-dimensional subgroup. In fact we obtain a very easy criterion to decide whether or not such a nilmanifold admits an Anosov diffeomorphism.

Keywords

Primary 37D20Secondary 20F1817B30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 269 - 280
Copyright
2003 Glasgow Mathematical Journal Trust