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arXiv 1006.2158math.GTmath.MG
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Thurston Lipschitz度量的Horobouncement群和isometry群

The horoboundary and isometry group of Thurston's Lipschitz metric

Cormac Walsh

摘要:

证明了具有Thurston Lipschitz度量的Teichmüller空间的时函数边界与Thurston边界相同.我们用它来确定等距组的Lipschitz度量,除了在一些特殊情况下。我们还表明,Teichmüller空间的不同的表面,当赋予这个度量,不是等距的,再次与一些可能的例外低亏格。

英文摘要:

We show that the horofunction boundary of Teichmüller space with Thurston's Lipschitz metric is the same as the Thurston boundary. We use this to determine the isometry group of the Lipschitz metric, apart from in some exceptional cases. We also show that the Teichmüller spaces of different surfaces, when endowed with this metric, are not isometric, again with some possible exceptions of low genus.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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