THE DISTANCE BETWEEN DIFFERENT COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE

Citation:

WANG Zhe.THE DISTANCE BETWEEN DIFFERENT COMPONENTS OF THE UNIVERSAL TEICHMULLER SPACE[J].Chinese Annals of Mathematics B,2005,26(4):537~542
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Authors:

WANG Zhe;

Foundation:

Project supported by the National Natural Science Foundation of China (No.10271029).
Abstract: The model of the universal Teichmuller space by the derivatives of logarithm is the union of infinite disconnected components. In this paper, it is proved that the distance between different components is 0, and the distance from the center of a component to every other component is 2.

Keywords:

Universal Teichmuller space, Logarithmic derivative, Quasiconformal extension

Classification:

30F60
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