Livsic Measurable Rigidity Theorem for C1 Generic Volume-preserving Systems
Abstract
In this paper, we prove that for C1 generic volume-preserving Anosov diffeomorphisms of a compact Riemannian manifold, Livsic measurable rigidity theorem holds. We also prove that for C1 generic volume-preserving Anosov flows of a compact Riemannian manifold, Livsic measurable rigidity theorem holds.
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