Local rigidity of the Teichmüller space with the Thurston metric

IF 1.4 2区数学 Q1 MATHEMATICS

Science China-Mathematics Pub Date : 2023-01-18 DOI:10.1007/s11425-021-2020-0

Huiping Pan

引用次数: 2

Abstract

We show that every $\mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\"uller metric.

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具有Thurston度规的teichm ller空间的局部刚性

我们证明了具有Thurston范数的Teichm\ uller空间的余切空间之间的每$\mathbb R$-线性满射等距都是由下面的双曲曲面之间的某种等距诱导出来的，这是关于Teichm\ uller度量的Royden定理的一个类似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Science China-Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

8.3 months

期刊介绍： Science China Mathematics is committed to publishing high-quality, original results in both basic and applied research. It presents reviews that summarize representative results and achievements in a particular topic or an area, comment on the current state of research, or advise on research directions. In addition, the journal features research papers that report on important original results in all areas of mathematics as well as brief reports that present information in a timely manner on the latest important results.