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.
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)
文摘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.
