| Lu Qi-Keng conjectue and Hua domain |
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| 摘 要： | The first part of this paper discusses the motivation for the Lu Qi-Keng conjecture and the results about the presence or the absence of zeroes of the Bergman kernel function of a bounded domain in C~n.Its second part summarizes the main results on the Hua domains,such as the explicit Bergman kernel function,the comparison theorem for the invariant metrics,the explicit complete Einstein-K(?)hler metrics,the equivalence between the Einstein-K(?)hler metric and the Bergman metric,etc.
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| 收稿时间： | 28 June 2006 |
| 修稿时间： | 9 May 2007 |
Lu Qi-Keng conjectue and Hua domain |
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| Authors: | WeiPing Yin |
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| Institution: | YIN WeiPing School of Mathematical Sciences;Capital Normal University;Beijing 100037;China |
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| Abstract: | The first part of this paper discusses the motivation for the Lu Qi-Keng conjecture and the results about the presence or the absence of zeroes of the Bergman kernel function of a bounded domain in C~n.Its second part summarizes the main results on the Hua domains,such as the explicit Bergman kernel function,the comparison theorem for the invariant metrics,the explicit complete Einstein-K(?)hler metrics,the equivalence between the Einstein-K(?)hler metric and the Bergman metric,etc. |
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| Keywords: | Lu Qi-Keng conjecture zeroes of the Bergman kernel function Hua domains Einstein-K(?)hler metric Bergman metric |
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