Anosov automorphisms on certain classes of nilmanifolds

Details Anosov automorphisms on certain classes of nilmanifolds Anosov automorphisms on certain classes of nilmanifolds

2006-06-09

arxiv.org/abs/math/0606235v1

Published in Glasg. Math. J. 48 (2006), 161-170

Mathematics

Dynamical Systems

16 pages

Scientific paper

We give a necessary and sufficient condition for $k$-step nilmanifolds
associated with graphs $(k \geq 3)$ to admit Anosov automorphisms. We also
prove nonexistence of Anosov automorphisms on certain classes of 2-step and
3-step nilmanifolds.

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