Khler-Einstein surface and symmetric space  

作　　者：CHEN DaGuang HONG Yi YANG HongCang 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China [2]Depariment of Mathematics, South China University of Technology, Guangzhou 510640, China [3]Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Science China Mathematics》2011年第12期2627-2634,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.1131008);partially by National Science Foundation of USA

摘　　要：We consider the question of characterizing compact quotients of the complex 2-ball by curvature conditions, which improve the known results. Moreover, we also give curvature conditions such that a compact Kaehler-Einstein surface is bi-holomorphic to a locally symmetric space.We consider the question of characterizing compact quotients of the complex 2-ball by curvature conditions, which improve the known results. Moreover, we also give curvature conditions such that a compact Khler-Einstein surface is bi-holomorphic to a locally symmetric space.

关 键 词：Kaehler-Einstein surfaces holomorphic sectional curvature Hermitian symmetric space 

分 类 号：O174.56[理学—数学] O186.12[理学—基础数学]