Stably ergodic diffeomorphisms which are not partially hyperbolic
动力系统
2007-05-23 v1
摘要
We show stable ergodicity of a class of conservative diffeomorphisms which do not have any hyperbolic invariant subbundle. Moreover the uniqueness of SRB measures for non-conservative perturbations of such diffeomorphisms. This class contains strictly non-partially hyperbolic robustly transitive diffeomorphisms by Bonatti-Viana and so we answer their question about the stable ergodicity of such systems.
引用
@article{arxiv.math/0206083,
title = {Stably ergodic diffeomorphisms which are not partially hyperbolic},
author = {Ali Tahzibi},
journal= {arXiv preprint arXiv:math/0206083},
year = {2007}
}
备注
33 pages, 4 figures