9维和10维幂零流形上的阿诺索夫自同构
动力系统
2014-11-11 v2
摘要
我们利用非常特殊代数数的性质研究了9维和10维阿诺索夫李代数。我们对的步复阿诺索夫李代数进行了分类，并在两步情形下，给出了每种可能类型的一个例子，或给出了一个不存在性结果。
引用
@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}
}
备注
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