Anosov automorphisms on nilmanifolds in dimensions 9 and 10

Details Anosov automorphisms on nilmanifolds in dimensions 9 and 10 Anosov automorphisms on nilmanifolds in dimensions 9 and 10

2009-01-23

arxiv.org/abs/0901.3739v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

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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