Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (4): 602-606.

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The Equivalence of the Complete Einstein-Kahler Metric and the Bergman Metric on YⅢ

  

  1. Department of Mathematics and Physics,Hefei University,Hefei 230601,China
  • Received:2005-10-28 Online:2007-12-30 Published:2023-10-23
  • About author:WANG Gui-xia(1981-), female, native of Guichi, Anhui, an associate professor of Hefei Univer- sity, M.S.D., engages in several complex variables.
  • Supported by:
     Supported by NSF of Hefei University(06KY15ZR)；

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Abstract: In this paper we give the proof about the equivalence of the complete Einstein- Kahler metric and the Bergman metric on Cartan-Hartogs domain of the third type. And we obtain the method of getting the equivalence of two metrics.

Key words: Cartan-Hartogs domain, Einstein-Kahler metric, Bergman metric

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