Anosov automorphisms on nilmanifolds in dimensions 9 and 10
Dynamical Systems
2014-11-11 v2
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 and in the two step case, we give an example in each possible type, or we give a non-existence result.
Keywords
Cite
@article{arxiv.0901.3739,
title = {Anosov automorphisms on nilmanifolds in dimensions 9 and 10},
author = {Meera G. Mainkar and Cynthia E. Will},
journal= {arXiv preprint arXiv:0901.3739},
year = {2014}
}
Comments
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