Partial Hyperbolicity for Symplectic Diffeomorphisms
动力系统
2007-05-23 v1
摘要
We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic.
引用
@article{arxiv.math/0412072,
title = {Partial Hyperbolicity for Symplectic Diffeomorphisms},
author = {Ali Tahzibi and Vanderlei Horita},
journal= {arXiv preprint arXiv:math/0412072},
year = {2007}
}
备注
29 pages, 1 figure