Backward volume contraction for endomorphisms with eventual volume expansion
Dynamical Systems
2007-05-23 v1
Abstract
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.
Cite
@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}
}