| RESEARCH ANNOUNCEMENTS——Einstein—Kahler Metric on Cartan—Hartogs Domain of the First Type |
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| 引用本文： | 王安,殷慰萍.RESEARCH ANNOUNCEMENTS——Einstein—Kahler Metric on Cartan—Hartogs Domain of the First Type[J].数学进展,2003,32(1):121-123. |
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| 作者姓名： | 王安 殷慰萍 |
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| 作者单位： | Dept.ofMath,CapitalNormalUniv,Beijing100037 |
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| 基金项目： | Supported in part by
NSFC(Grant No.: 10171068, 10171051) and NSF of Bejing(Grant No.1012004). |
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| 摘 要： | S. Y. Cheng and S. T. Yau showed in CY] that any C2 bounded pseudoconvex domain in Cnhas a complete Einstein-Kahler metric with constant negative Ricci curvature. N. Mok and S. T.YauMY] have extended this result to arbitrary bounded pseudoconvex domain in Cn. CompleteEinstein-Kahler metric with Explicit form, however, is only known in the case of homogeneousdomain.
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| 关 键 词： | 爱因斯坦－Kaehler度量 嘉当区域 第一类型 |
| 修稿时间： | 2002年8月9日 |
Einstein-Kahler Metric on Cartan-Hartogs Domain of the First Type |
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| Abstract: | S. Y. Cheng and S. T. Yau showed in CY] that any C2 bounded pseudoconvex domain in Cnhas a complete Einstein-Kahler metric with constant negative Ricci curvature. N. Mok and S. T.YauMY] have extended this result to arbitrary bounded pseudoconvex domain in Cn. CompleteEinstein-Kahler metric with Explicit form, however, is only known in the case of homogeneousdomain. |
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