Anosov Diffeomorphisms on Nilmanifolds of Dimension at Most Six
- Cite this article as:
- Malfait, W. Geometriae Dedicata (2000) 79: 291. doi:10.1023/A:1005264730096
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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.