Groups of diffeomorphisms of manifolds

本文研究了流形结构的自同构群--自同构群。主要研究人员获得的结果完善的身份组成部分的一组真正的分析cruomorphisms，一致完善性和一致简单性的身份组成部分的一组顺利cruomorphisms，并公布他们。共同调查人员获得的结果映射类组的表面，在横向全纯叶理，连接引理理论的动力系统，并出版。每年我们都组织同晶组的会议进行合作和交流研究思想。

We studied the group of diffeomorphisms which is the automorphism group of the manifold structure. The principal investigator obtained results on the perfectness of the identity component of the group of real-analytic diffeomorphisms,the uniform perfectness and the uniform simplicity of the identity component of the group of smooth diffeomorphisms, and published them. The co-investigators obtained results on the mapping class group of surfaces, on the transversely holomorphic foliations, on connecting lemma in the theory of dynamical systems, and published them. Each year we organized meeting on the diffeomorphism groups for the collaboration and exchange the research ideas.