衡阳师范学院学报
衡暘師範學院學報
형양사범학원학보
journal of Hengyang Normal University
2010年
6期
1~5
,共null页
邓义华 杨赞基 肖娟 阳志锋
鄧義華 楊讚基 肖娟 暘誌鋒
산의화 양찬기 초연 양지봉
Cartan-Hartogs域 Khler-Einstein度量 Bergman度量 等价
Cartan-Hartogs域 Khler-Einstein度量 Bergman度量 等價
Cartan-Hartogs역 Khler-Einstein도량 Bergman도량 등개
Cartan-Hartogs domain; Khler-Einstein metric; Bergman metric; equivalence
进一步讨论了第四类Cartan-Hartogs域上Khler-Einstein度量的显表达式问题。运用该度量的显表达式以及Bergman度量的显表达式与连续函数的性质,得到了第四类Cartan-Hartogs域上Khler-Einstein度量和Bergman度量等价的简单证明。
進一步討論瞭第四類Cartan-Hartogs域上Khler-Einstein度量的顯錶達式問題。運用該度量的顯錶達式以及Bergman度量的顯錶達式與連續函數的性質,得到瞭第四類Cartan-Hartogs域上Khler-Einstein度量和Bergman度量等價的簡單證明。
진일보토론료제사류Cartan-Hartogs역상Khler-Einstein도량적현표체식문제。운용해도량적현표체식이급Bergman도량적현표체식여련속함수적성질,득도료제사류Cartan-Hartogs역상Khler-Einstein도량화Bergman도량등개적간단증명。
In this paper,we make a further discussion of the explicit formula of the Khler-Einstein metric on Cartan-Hartogs domains of the fourth type.Using the explicit formula of the khler-Einstein metrics,the explicit formula of Bergman metrics and some properties of continuous functions,we get a simple proof of the equivalence of the Khler-Einstein metric and the Bergman metric on Cartan-Hartogs domain of the fourth type.
