Backward volume contraction for endomorphisms with eventual volume expansion
Dynamical Systems
2009-10-22 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 of Lebesgue almost every point.
Cite
@article{arxiv.0910.4016,
title = {Backward volume contraction for endomorphisms with eventual volume expansion},
author = {Vilton Pinheiro and Armando Castro and J. F. Alves},
journal= {arXiv preprint arXiv:0910.4016},
year = {2009}
}
Comments
Article published in Comptes Rendu, 2006