Backward volume contraction for endomorphisms with eventual volume expansion

Details Backward volume contraction for endomorphisms with eventual volume expansion Backward volume contraction for endomorphisms with eventual volume expansion

2009-10-21

arxiv.org/abs/0910.4016v1

Comptes Rendu Ser I 342 (2006) 259-262

Mathematics

Dynamical Systems

Article published in Comptes Rendu, 2006

Scientific paper

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.

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