第四類Caftan-Hartogs域上Bergman度量與Einstei

時間：2023-04-26 22:00:01 數理化學論文我要投稿

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第四類Caftan-Hartogs域上Bergman度量與Einstein-Kahler度量等價

In this paper,we discuss the invariaut complete metric on the Cartan-Hartogs domain of the fourth type.Firstly,we find a new invariant complete metric,and prove the equivalence between Bergman metric and the new metric;Secondly,the Ricci curvature of the new metric has the super bound and lower bound;Thirdly,we prove that the holomorphic sectional curvature of the new metric has the negative supper bound;Finally,we obtain the equivalence between Bergman metric and Einstein-Kahler metric on the Cartan-Hartogs domain of the fourth type.

作者：趙曉霞林萍 ZHAO Xiao-xia LIN Ping 作者單位：趙曉霞,ZHAO Xiao-xia(College of Information Science,Beijng Language and Culture University,Beijing 100083,China)

林萍,LIN Ping(Department of Mathematics,Capital Normal University,Beijing 100037,China)

刊名：數學季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分類號： O174 關鍵詞： Cartan-Hartogs domain equivalence of invariant metric Bergman metric Einstein-Kahler metric

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第四類Caftan-Hartogs域上Bergman度量與Einstei