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Cr-Closing lemma for partially hyperbolic diffeomorphisms on 3-manifolds

發布者:文明辦作者:發布時間:2019-04-12瀏覽次數:1502


主講人:史逸 北京大學 研究員


時間:2019年4月15日11:15


地點:徐匯校區三號樓332


舉辦單位:數理學院


內容介紹:The Cr-closing lemma is one well-known problem in the theory of dynamical  systems. The problem is to perturb the original dynamical system so as to obtain  a Cr-close system that has a periodic orbit passing through a given point. And  this point is called Cr-closable. In this talk, we prove the Cr-closing lemma (r  = 2,3,···,∞) for partially hyperbolic diffeomorphisms on 3-manifolds: every  non-wandering point of these diffeomorphisms is Cr-closable. Moreover, we will  show that Cr-generic conservative partially hyperbolic diffeomorphisms on  3-manifolds have dense periodic points.This is a joint work with Shaobo Gan.

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