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arXiv:0910.4016 [math.DS]AbstractReferencesReviewsResources

Backward volume contraction for endomorphisms with eventual volume expansion

Vilton Pinheiro, Armando Castro, J. F. Alves

Published 2009-10-21Version 1

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.

Comments: Article published in Comptes Rendu, 2006
Journal: Comptes Rendu Ser I 342 (2006) 259-262
Categories: math.DS
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