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Anosov automorphisms on certain classes of nilmanifolds

Meera G. Mainkar
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Abstract

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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Meera G. Mainkar. 2006-06-09. Anosov automorphisms on certain classes of nilmanifolds. https://arxiv.org/abs/math/0606235

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