Backward volume contraction for endomorphisms with eventual volume expansion
动力系统
2007-05-23 v1
摘要
We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward volume contraction on every pre-orbit for Lebesgue almost every point.
引用
@article{arxiv.math/0403537,
title = {Backward volume contraction for endomorphisms with eventual volume expansion},
author = {Jose F. Alves and Armando Castro and Vilton Pinheiro},
journal= {arXiv preprint arXiv:math/0403537},
year = {2007}
}