学术报告

Rigidity of Center Lyapunov Exponents and Su-Integrability 

阅读次数:975

题目:Rigidity of Center Lyapunov Exponents and Su-Integrability 
报告人:史逸 研究员(北京大学)
地点:宁静楼104室
时间:2019年8月28日11:00-12:00
摘要: Let f be a conservative partially hyperbolic diffeomorphism which is homotopic to an Anosov automorphism A on T 3 . We show that the stable and unstable bundles of f are jointly integrable if and only if every periodic point of f admits the same center Lyapunov exponent with A. In particular, f is Anosov. This implies that every conservative partially hyperbolic diffeomorphism which is homotopic to an Anosov automorphism on T 3 is ergodic, which proves the Ergodic Conjecture proposed by Hertz-Hertz-Ures on T 3 . This is a joint work with Shaobo Gan. 1

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