Livšic measurable rigidity for 𝒞¹ generic volume-preserving Anosov systems

Yang, Yun

doi:10.1090/proc12762

Livšic measurable rigidity for $\mathcal {C}^1$ generic volume-preserving Anosov systems
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Proc. Amer. Math. Soc. 144 (2016), 1119-1127 Request permission

Abstract:

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

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