, Volume 79, Issue 3, pp 291-298

Anosov Diffeomorphisms on Nilmanifolds of Dimension at Most Six

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Abstract

A complete classification of nilmanifolds of dimension smaller than or equal to six supporting Anosov diffeomorphisms is presented. This is obtained by solving the equivalent problem of determining the torsion-free nilpotent groups of rank at most six which admit hyperbolic automorphisms.