Topological Structures of Teichmüller Spaces

Lixin Liu · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2005

Several topological structures in finite dimensional Teichmller spaces are studied. And it's proved that some topological structures in finite dimensional Teichmller spaces are topologically equivalent. A metric defined by the length spectrum of Riemann surface is given in infinite dimensionalreduced Teichmller space.

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