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- W2486019227 abstract "Based on the quasiconformal theory of the universal Teichmuller space, we introduce the Teichmuller space of diffeomorphisms of the circle with {alpha}-Holder continuous derivatives as a subspace of the universal Teichmuller space. We characterize such a diffeomorphism in terms of the complex dilatation of its quasiconformal extension and the Schwarzian derivative given by the Bers embedding. Then we provide a complex Banach manifold structure for it and prove that its topology coincides with the one induced by local $C^{1+{alpha}}$-topology at the base point. This shows that our Teichmuller space also has the structure of a contractible topological group." @default.
- W2486019227 created "2016-08-23" @default.
- W2486019227 creator A5010243023 @default.
- W2486019227 date "2016-07-21" @default.
- W2486019227 modified "2023-09-27" @default.
- W2486019227 title "Teichmuller spaces of circle diffeomorphisms with Holder continuous derivatives" @default.
- W2486019227 hasPublicationYear "2016" @default.
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