The Equivalence between Bergman Metric and Einstein-Kahler Metric on the Cartan-Hartogs Domain of the Fourth Type  

作　　者：ZHAO Xiao-xia LIN Ping 

机构地区：[1]College of Information Science, Beijing Language and Gulture University, Beijing 100083, China [2]Department of Mathematics, Capital Normal University, Beijing 100037, China

出　　处：《Chinese Quarterly Journal of Mathematics》2008年第3期317-324,共8页数学季刊（英文版）

基　　金：the NSFC(10701017)

摘　　要：In this paper, we discuss the invariant 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.

关 键 词：Cartan-Hartogs domain equivalence of invariant metric Bergman metric Einstein-Kahler metric 

分 类 号：O174[理学—数学]