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Rigidity result on conjugacies of families of diffeomorphisms

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【作者】 李伟固章梅荣

【Author】 LI Weigu(Department of Mathematics,Peking University,Beijing 100871,China)ZHANG Meirong(Department of Applied Mathematics,Tsinghua University,Beijing 100084,China)

【机构】 Department of MathematicsPeking UniversityBeijing 100871ChinaDepartment of Applied MathematicsTsinghua UniversityBeijing 100084China

【摘要】 <正> 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.

【Abstract】 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.

【关键词】 diffeomorphismtopological conjugacy.
【Key words】 diffeomorphismtopological conjugacy.
【基金】 Project supported by the National Natural Science Foundation of China and the Basic Science Research Foundation of Tsinghua University.
  • 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1997年10期
  • 【分类号】O19
  • 【下载频次】26
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