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arXiv · 1410.8631

Livšic Measurable Rigidity Theorem for \mathcal{C}^1 Generic Volume-preserving Systems

Yun Yang
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Abstract

In this paper, we prove that for $\mathcal{C}^1$ generic volume-preserving Anosov diffeomorphisms of a compact Riemannian manifold, Livšic measurable rigidity theorem holds. We also prove that for $\mathcal{C}^1$ generic volume-preserving Anosov flows of a compact Riemannian manifold, Livšic measurable rigidity theorem holds.

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Yun Yang. 2014-10-31. Livšic Measurable Rigidity Theorem for \mathcal{C}^1 Generic Volume-preserving Systems. https://arxiv.org/abs/1410.8631

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