| Einstein-Kahler Metric with Explicit Formula on Super-Cartan Domain of the Fourth Type |
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| 作者姓名： | An WANG Wei Ping YIN |
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| 作者单位： | Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （Grant No, 10471097） and Scientific Research Common Program of Beijing Municipal Commission of Education （Grant No. KM200410028002） ; Supported by National Natural Science Foundation of China （Grant No. 10471097） and the Doctoral Programme Foundation of NEM of China |
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| 摘 要： | Let YIV be the Super-Cartan domain of the fourth type, We reduce the Monge-Ampere equation for the metric to an ordinary differential equation in the auxiliary function X = X（Z, W）. This differential equation can be solved to give an implicit function in X. We give the generating function of the Einstein Kahler metric on YIV. We obtain the explicit form of the complete Einstein-Kahler metric on YIV for a special case.
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| 关 键 词： | Cartan域 Einstein-Kahler矩阵 全纯曲率 微分方程 |
| 收稿时间： | 2003-12-29 |
| 修稿时间： | 2003-12-292005-04-30 |
Einstein–Kähler Metric with Explicit Formula on Super–Cartan Domain of the Fourth Type |
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| An WANG Wei Ping YIN.Einstein-Kahler Metric with Explicit Formula on Super-Cartan Domain of the Fourth Type[J].Acta Mathematica Sinica,2006,22(2):367-376. |
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| Authors: | An Wang Wei Ping Yin |
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| Institution: | (1) Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China |
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| Abstract: | Let Y IV be the Super–Cartan domain of the fourth type. We reduce the Monge–Ampère equation for the metric to an ordinary differential equation in the auxiliary function X = X(Z,W). This differential equation can be solved to give an implicit function in X. We give the generating function of the Einstein–Kähler metric on Y IV . We obtain the explicit form of the complete Einstein–Kähler metric on Y IV for a special case. |
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| Keywords: | Super-Cartan domain Einstein-Kahler metric Holomorphic sectional curvature Generating function |
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