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Anosov automorphisms on nilmanifolds in dimensions 9 and 10

2009/01/23 by Meera G. Mainkar, Mainkar, Meera G., Cynthia E. Will +1 · 1 citation
Mathematics · #20F34 #22E25 #37D20 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:20F34 #msc:22E25 #msc:37D20

paper · pdf · doi:10.48550/arxiv.0901.3739

A new paper "Characterization of of 9-dimensional Anosov Lie algebras", arXiv:1411.2006, was submitted which contains stronger results than this version. Work on 10-dimensional Anosov Lie algebras is in progress

arxiv created 2014/10/10 · arxiv updated 2014/11/11

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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