Khler-Einstein surface and symmetric space

Khler-Einstein surface and symmetric space

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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.

作者 CHEN DaGuang HONG Yi YANG HongCang

机构地区 Department of Mathematical Sciences Depariment of Mathematics Hua Loo-Keng Key Laboratory of Mathematics

出处《Science China Mathematics》 SCIE 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

关键词 Kaehler-Einstein surfaces holomorphic sectional curvature Hermitian symmetric space Kaehler 局部对称空间爱因斯坦表面曲率条件紧凑商数全纯

分类号 O174.56 [理学—基础数学] O186.12 [理学—基础数学]

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Science China Mathematics

2011年第12期

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Khler-Einstein surface and symmetric space

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