Rigidity of some groups of germs of diffeomorphisms (Q1884093)

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scientific article; zbMATH DE number 2109794
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Rigidity of some groups of germs of diffeomorphisms
scientific article; zbMATH DE number 2109794

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    Rigidity of some groups of germs of diffeomorphisms (English)
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    25 October 2004
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    Using the description of nonsolvable dynamics by \textit{I. Nakai} [Ann. Inst. Fourier 44, 569--599 (1994; Zbl 0804.57022)], in this paper the author gives a new proof of the rigidity properties of some subgroups of \(\text{ Diff}({\mathbb C},0)\) (see Theorems 1, 2 and 3). The \(C^{\infty}\) case is also considered.
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    germs of diffeomorphisms
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    Gevrey classes
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    Nakai flows
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    formal and topological rigidity
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    free groups.
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