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.
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Malfait, W. Anosov Diffeomorphisms on Nilmanifolds of Dimension at Most Six. Geometriae Dedicata 79, 291–298 (2000). https://doi.org/10.1023/A:1005264730096
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DOI: https://doi.org/10.1023/A:1005264730096