SOME GEOMETRIC PROPERTIES ON A MODEL OF UNIVERSAL TEICHM\"ULLER SPACES

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
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Authors:

Chen Jixiu; Wei Hanbai

Foundation:

the National Natural Science Foundation of China
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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