Backward volume contraction for endomorphisms with eventual volume expansion
نویسندگان
چکیده
منابع مشابه
Backward Volume Contraction for Endomorphisms with Eventual Volume Expansion
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. 1. Statement of results Let M be a compact Riemannian manifold and let Leb be a volume form on M that we call Lebesgue measure. We take f : M → M an...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2006
ISSN: 1631-073X
DOI: 10.1016/j.crma.2005.11.024