| 第三类超Cartan域上的凸性与kobayashi度量 |
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| 引用本文： | 李海涛,苏简兵. 第三类超Cartan域上的凸性与kobayashi度量[J]. 数学的实践与认识, 2010, 40(8) |
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| 作者姓名： | 李海涛 苏简兵 |
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| 作者单位： | 1. 徐州师范大学科文学院,江苏徐州,221116
2. 徐州师范大学数学科学学院,江苏徐州,221116 |
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| 基金项目： | 江苏省高校自然科学基金(07KJB110115) |
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| 摘 要： | 考察第三类超Cartan域Y_(III)(k;N;q)的凸性,得到此域为凸域的充分必要条件.我们还计算出超cartan域Y_(III)(2;N;5)和超Cartan域Y_(III)(4;N;4)上的caratheodory度量和kobayashi度量.
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| 关 键 词： | 凸性 超cartan域 kobayashi度量 caratheodory度量 |
The Convexity and Kobayashi Metric on the Super-cartan Domain of the Third Type |
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| LI Hai-tao,SU Jian-bing. The Convexity and Kobayashi Metric on the Super-cartan Domain of the Third Type[J]. Mathematics in Practice and Theory, 2010, 40(8) |
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| Authors: | LI Hai-tao SU Jian-bing |
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| Affiliation: | LI Hai-tao~1,SU Jian-bing~2 (1.Kewen Institute,Xuzhou Normal University,Xuzhou 221116,China) (2.School of Mathematical Sciences,Xuzhou 2211161,China) |
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| Abstract: | We study the convexity on Y_Ⅲ(k;N;q),the super-cartan domain of the third type,and obtain the necessary and sufficient condition when Y_Ⅲ(k;N;q)is convex.We also calculate the caratheodory metric and kobayashi metric of Y_Ⅲ(1;N;5) and Y_Ⅲ(4;N;4). |
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| Keywords: | convexity super-cartan domain kobayashi metric caratheodory metric |
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