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| SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHM\"ULLER SPACES |
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Citation： |
Chen Jixiu,Wei Hanbai.SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHM\"ULLER SPACES[J].Chinese Annals of Mathematics B,1997,18(3):309~314 |
| Page view： 1163
Net amount： 812 |
Authors： |
Chen Jixiu; Wei Hanbai |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
The model of the universal Teichm\"uller space by the derivatives of logarithm is the union of infinite
disconnected components. In this paper, the fact that each component is not starlike with respect to its center is proved, and the outer radius of the space with respect to each center is obtained. |
Keywords： |
Universal Teichm\"uller space, Logarithmic
derivative, Quasiconformal extension |
Classification： |
30F60 |
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