On Strebel points  

作　　者：HU Yun SHEN YuLiang 

机构地区：[1]Department of Mathematics,Soochow University,Suzhou 215006,China

出　　处：《Science China Mathematics》2009年第9期2019-2026,共8页中国科学：数学（英文版）

基　　金：supported by the Program for New Century Excellent Talents in University (Grant No.NCET-06-0504);National Natural Science Foundation of China (Grant No.10771153)

摘　　要：Any Beltrami coefficient μ on a hyperbolic Riemann surface X of infinite type represents a point [μ]T in the Teichmüller space T (X) and a point [μ]B in the tangent space of T (X) at the base point as well. The paper deals with the problem of determining whether that [μ]T is a Strebel point is equivalent to that [μ]B is an infinitesimal Strebel point.Any Beltrami coefficient μ on a hyperbolic Riemann surface X of infinite type represents a point [μ] T in the Teichmüller space T(X) and a point [μ] B in the tangent space of T(X) at the base point as well. The paper deals with the problem of determining whether that [μ] T is a Strebel point is equivalent to that [μ] B is an infinitesimal Strebel point.

关 键 词：Teichmüller space Strebel point infinitesimal Strebel point 32G15 30C62 30F60 

分 类 号：O186.12[理学—数学]