Open AccessLivšic measurable rigidity for 𝒞¹ generic volume-preserving Anosov systems
Author(s) -
Yun Yang
Publication year - 2015
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc12762
Subject(s) - algorithm , annotation , computer science , artificial intelligence
In this paper, we prove that for C 1 \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 C 1 \mathcal {C}^1 generic volume-preserving Anosov flows.