| The Einstein-Kahler metrics on Cartan-Hartogs domain of the first type |
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| 作者姓名： | WANG An |
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| 作者单位： | WANG An
Department of Mathematics，Capital Normal University，Beijing 100037，China |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金 |
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| 摘 要： | Let YI be the Cartan-Hartogs domain of the first type. We give the generating function of the Einstein-Kahler metrics on YI, the holomorphic sectional curvature of the invariant Einstein-Kahler metrics on YI. The comparison theorem of complete Einstein-Kahler metric and Kobayashi metric on YI is provided for some cases. For the non-homogeneous domain YI, when K =mn+1/m+n,m>1, the explicit forms of the complete Einstein-Kahler metrics are obtained.
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The Einstein-Kahler metrics on Cartan-Hartogs domain of the first type |
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| WANG An.The Einstein-Kahler metrics on Cartan-Hartogs domain of the first type[J].Science in China(Mathematics),2004,47(2). |
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| Authors: | WANG An |
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| Institution: | Department of Mathematics, Capital Normal University, Beijing 100037, China |
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| Abstract: | Let YI be the Cartan-Hartogs domain of the first type. We give the generating function of the Einstein-Kahler metrics on YI, the holomorphic sectional curvature of the invariant Einstein-Kahler metrics on YI. The comparison theorem of complete Einstein-Kahler metric and Kobayashi metric on YI is provided for some cases. For the non-homogeneous domain YI, when K =mn+1/m+n,m>1, the explicit forms of the complete Einstein-Kahler metrics are obtained. |
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| Keywords: | Cartan-Hartogs domain Einstein-Kahler metric holomorphic sectional curvature generating function |
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