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