Local rigidity of the Teichmüller space with the Thurston metric

被引：0
|
作者：
Huiping Pan
机构：
[1] South China University of Technology,School of Mathematics
来源：
Science China Mathematics | 2023年 / 66卷
关键词：
Teichmüller space; Thurston metric; Royden’s theorem; curve complex; rigidity; 30F60; 32G15;
D O I：
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学科分类号：
摘要：
We show that every ℝ-linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces. This is an analogue of Royden’s theorem concerning the Teichmüller norm.
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页码：1751 / 1766
页数：15
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