最终体积膨胀的自同态的向后体积收缩
Backward volume contraction for endomorphisms with eventual volume expansion
摘要：
考虑紧黎曼流形上的光滑映射。我们证明了在最终体积膨胀Lebesgue几乎处处的一些温和条件下，在Lebesgue的每个预轨道上几乎每个点上都有一致的向后体积收缩。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
