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Rigidity result on conjugacies of families of diffeomorphisms

Rigidity result on conjugacies of families of diffeomorphisms
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摘要 Embedding flows are used to obtain a rigidity result on strongly topological conjugacy of families of diffeomorphisms,i.e.families of C4(2≤r≤∞) diffeomorphisms,the strongly topologically conjugating homeomor-phisms near degenerate saddle-nodes will be differentiable on center manifolds of the saddle-nodes. Embedding flows are used to obtain a rigidity result on strongly topological conjugacy of families of diffeomorphisms,i.e.families of C4(2≤r≤∞) diffeomorphisms,the strongly topologically conjugating homeomor-phisms near degenerate saddle-nodes will be differentiable on center manifolds of the saddle-nodes.
出处 《Science China Mathematics》 SCIE 1997年第10期1036-1044,共9页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China and the Basic Science Research Foundation of Tsinghua University.
关键词 DIFFEOMORPHISM TOPOLOGICAL conjugacy. diffeomorphism,topological conjugacy.
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