Hua domains and complete Einstein-Khler metric  

作　　者：YIN Wei-ping 

机构地区：[1]Dept. of Mathematics, Capital Normal University, Beijing 100037, China

出　　处：《商丘师范学院学报》2006年第5期1-13,共13页Journal of Shangqiu Normal University

基　　金：Projectsupported in part by NSF of China(Grant NO.10471097 and the Doctoral Programme Foundation of NEM of China

摘　　要：The first part of this paper we talk about the story of how to introduce the Hua domains and summarize the main results on Hua domains.The second part,the explicit complete Einstein-Khler metric on the special type of Hua domains is given and the sharp estimate of holomorphic sectional curvature under this metric is also obtained.In the meantime we also prove that the complete Einstein-Khler metric is equivalent to the Bergman metric on the special type of Hua domain.The first part of this paper we talk about the story of how to introduce the Hua domains and summarize the main results on Hua domains. The second part, the explicit complete Einstein-Kahler metric on the special type of Hua domains is given and the sharp estimate of holomorphic sectional curvature under this metric is also obtained. In the meantime we also prove that the complete Einstein-Kaehler metric is equivalent to the Bergman metric on the special type of Hua domain.

关 键 词：Einstein-Kaehler米制 伯格曼米制 全纯截曲率 Hua域 全纯自同构群 

分 类 号：O152[理学—数学]