Surfaces with Isotropic Blaschke Tensor in S^3

作     者：Feng Jiang LI Jian Bo FANG Lin LIANG 

作者机构：Department of MathematicsYunnan Normal University Department of Mathematics and statisticsChuxiong Normal University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2015年第31卷第5期

页      面：863-878页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant No.10861013) 

主　　题：Moebius geometry Blaschke tensor isotropic 

摘      要：Abstract Let M^2 be an umbilic-free surface in the unit sphere S^3. Four basic invariants of M^2 under the Moebius transformation group of S^3 are Moebius metric g, Blaschke tensor A, Moebius second fundamental form B and Moebius form φ. We call the Blaschke tensor is isotropic if there exists a smooth function λ such that A = λg. In this paper, We classify all surfaces with isotropic Blaschke tensor in S^3.