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arXiv:math/0403537 [math.DS]AbstractReferencesReviewsResources

Backward volume contraction for endomorphisms with eventual volume expansion

Jose F. Alves, Armando Castro, Vilton Pinheiro

Published 2004-03-31Version 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 for Lebesgue almost every point.

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