Smoothing positive currents and the existence of Khler-Einstein metrics  

作　　者：CHEN BingLong 

机构地区：[1]Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China

出　　处：《Science China Mathematics》2012年第5期893-912,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10831008,11025107);Fundamental Research Funds for Central Universities (Grant No 2010-34000-3162643);High Level Talent Project in High Schools in Gongdong Province (Grant No 34000-5221001)

摘　　要：In this paper,we prove a general existence theorem of Khler-Einstein metrics on complete Khler manifolds.We use the heat equation method smoothing certain positive (1,1) current in the canonical class.In this paper,we prove a general existence theorem of Khler-Einstein metrics on complete Khler manifolds.We use the heat equation method smoothing certain positive （1,1） current in the canonical class.

关 键 词：Khler-Einstein metric 

分 类 号：O412.1[理学—理论物理] TM933[理学—物理]