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arXiv · 0901.3739

Anosov automorphisms on nilmanifolds in dimensions 9 and 10

Meera G. Mainkar·Cynthia E. Will
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Abstract

We study 9 and 10-dimensional Anosov Lie algebras, by using the properties of very special algebraic numbers. We classify k-step complex Anosov Lie algebras for $k>2$ and in the two step case, we give an example in each possible type, or we give a non-existence result.

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Meera G. Mainkar, Cynthia E. Will. 2009-01-23. Anosov automorphisms on nilmanifolds in dimensions 9 and 10. https://arxiv.org/abs/0901.3739

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