Rigidity result on conjugacies of families of diffeomorphisms |
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| Authors: | Weigu Li Meirong Zhang |
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| Institution: | 1. Department of Mathematics, Peking University, 100871, Beijing, China
2. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China
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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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