|
|||||
|
|
| The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type | |
| 引用本文： | ZHAO Xiaoxi,DING Li,YIN Weiping. The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type[J]. 自然科学进展(英文版), 2004, 14(2): 105-112. DOI: 10.1080/10020070412331343221 |
| 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 |
|
| Zhao Xiaoxia,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. DOI: 10.1080/10020070412331343221 | |
| Authors: | Zhao Xiaoxia DING Li YIN Weiping |
| Affiliation: | 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 |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |
| 点击此处可从《自然科学进展(英文版)》浏览原始摘要信息 | |
| 点击此处可从《自然科学进展(英文版)》下载全文 | |