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(shù)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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