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Backward volume contraction for endomorphisms with eventual volume expansion

Jose F. Alves·Armando Castro·Vilton Pinheiro
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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.

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Jose F. Alves, Armando Castro, Vilton Pinheiro. 2004-03-31. Backward volume contraction for endomorphisms with eventual volume expansion. https://arxiv.org/abs/math/0403537

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