Isometrically embedded polydisks in infinite dimensional Teichmüller spaces
Isometrically embedded polydisks in infinite dimensional Teichmüller spaces
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DOI：
10.1007/bf02923088
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发表时间：
1999-03
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影响因子：
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通讯作者：
C. Earle;Zhong Li
中科院分区：
文献类型：
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作者：
C. Earle;Zhong Li
We define isometric holomorphic embeddings of the infinite dimensional polydisk D∞in any infinite dimensional Teichmüller space. These embeddings provide simple new proofs that the Teichmüller metric on any infinite dimensional Teichmüller space is non-differentiable and has arbitrarily short simple closed geodesics. They also lead to a complete characterization of the points in Teichmüller space that lie on more than one straight line through the basepoint.
