The cross-ratio distortion of integrably asymptotic affine homeomorphism of unit circle |
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| Authors: | Chong Wu |
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| Institution: | 1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
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| Abstract: | Let QS*(S 1) be the space of quasisymmetric homeomorphisms of the unit circle such that the corresponding subspace of the universal Teichmüller space has Weil-Petersson metric. In this paper we give a necessary condition for a quasisymmetric homeomorphism to belong to QS*(S 1) from the aspect of cross-ratio distortion. |
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| Keywords: | universal Teichmu¨ller space quasisymmetric homeomorphism Weil-Petersson metric cross-ratio |
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