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Rigidity result on conjugacies of families of diffeomorphisms

  • Science in China (series A)
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Abstract

Embedding flows are used to obtain a rigidity result on strongly topological conjugacy of families of diffeomorphisms, i.e. families of Cr(2⩽r⩽∞) diffeomorphisms, the strongly topologically conjugating homeomorphisms near degenerate saddle-nodes will be differentiable on center manifolds of the saddle-nodes.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, China

    Weigu Li

  2. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China

    Meirong Zhang

Authors
  1. Weigu Li
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  2. Meirong Zhang
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Additional information

Project supported by the National Natural Science Foundation of China and the Basic Science Research Foundation of Tsinghua University.

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Li, W., Zhang, M. Rigidity result on conjugacies of families of diffeomorphisms. Sci. China Ser. A-Math. 40, 1036–1044 (1997). https://doi.org/10.1007/BF03182363

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  • DOI: https://doi.org/10.1007/BF03182363

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