第四类Caftan-Hartogs域上Bergman度量与Einstei

时间：2023-04-26 22:00:01 数理化学论文我要投稿

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第四类Caftan-Hartogs域上Bergman度量与Einstein-Kahler度量等价

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：赵晓霞林萍 ZHAO Xiao-xia LIN Ping 作者单位：赵晓霞,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：数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 2008 23(3) 分类号： O174 关键词： Cartan-Hartogs domain equivalence of invariant metric Bergman metric Einstein-Kahler metric

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