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| The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type | |
| 作者姓名： | ZHAO Xiaoxi DING Li YIN Weiping |
| 作者单位： | Department of Computer Science, Beijing Language and Culture University, Beijing 100083,Fundamental Department, Beijing Technology and Business University, Beijing 100037,Department of Mathematics, Capital Normal University, Beijing 100037, China |
| 基金项目： | Supported in part by the National Nature Science Foundation of China (Grant No. 10171068) and Natural Science Foundation of Beijing (Grant No. 1012004) |
| 摘 要： | In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type YII(N,p,K) is presented and an invariant K?]lher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on YII(N,p,K) is obtained. |
| 关 键 词： | Bergman metric Kobayashi metric Kalher metric |
The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type |
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| ZHAO Xiaoxi,DING Li,YIN Weiping.The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type[J].Progress in Natural Science,2004,14(2):105-112. | |
| Authors: | Zhao Xiaoxia DING Li YIN Weiping |
| Institution: | 1. Department of Computer Science, Beijing Language and Culture University, Beijing 100083 2. Fundamental Department, Beijing Technology and Business University, Beijing 100037 3. Department of Mathematics, Capital Normal University, Beijing 100037, China |
| Abstract: | In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type YII(N,p,K) is presented and an invariant K?]lher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on YII(N,p,K) is obtained. |
| Keywords: | Bergman metric Kobayashi metric Kalher metric |
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