DIFFEOMORPHISM WITH A GENERALIZED LIPSCHITZ SHADOWING PROPERTY

主讲人：文晓 北京航天航空大学 副教授

时间：2019年4月15日9：45

地点：徐汇校区三号楼332

举办单位：数理学院

内容介绍：Pilyugin and Tikhomirov proved that Lipschitz shadowing property implies the  structural stability and Todorov proved a similar result that a Lipschitz  two-sided limit shdowing property also implies structural stability for  diffeomorpshisms. In this talk, we define a general type of the Lipschitz  shadowing property which covers the previous two kinds of Lipschitz shadowing  property, and prove that if a diffeomorphism $f$ of a compact smooth manifold  $M$ has this general type of the Lipschitz shadowing property then it is  structurally stable. This is a joint work with Manseob Lee and Jumi Oh.