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第四類(lèi)Caftan-Hartogs域上Bergman度量與Einstei

時(shí)間:2023-04-26 22:00:01 數(shù)理化學(xué)論文 我要投稿
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第四類(lèi)Caftan-Hartogs域上Bergman度量與Einstein-Kahler度量等價(jià)

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(xué)季刊(英文版)  ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年,卷(期): 2008 23(3)  分類(lèi)號(hào): O174  關(guān)鍵詞: Cartan-Hartogs domain   equivalence of invariant metric   Bergman metric   Einstein-Kahler metric  

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