Local rigidity of the Teichmüller space with the Thurston metric  

作　　者：Huiping Pan 

机构地区：[1]School of Mathematics,South China University of Technology,Guangzhou 510641,China

出　　处：《Science China Mathematics》2023年第8期1751-1766,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.11901241).

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.

关 键 词：Teichmüller space Thurston metric Royden's theorem curve complex RIGIDITY 

分 类 号：O186.1[理学—数学]