| 两个非紧致齐性复解析流形 |
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| 引用本文： | 陈纪阳.两个非紧致齐性复解析流形[J].数学学报,1994,37(3):349-361. |
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| 作者姓名： | 陈纪阳 |
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| 作者单位： | 福州师范专科学校数学系!福州350005 |
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| 基金项目： | 国家自然科学基金，福建省自然科学基金资助项目． |
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| 摘 要： | 本文给出两个非紧致的齐性复解析流形．用它的齐性子流形构造出两个例外对称典型域的扩充空间，并由复流形上的运动群在超圆上的限制得到了两个例外对称典型域的仿射自同胚群，它们是闭的辛子群．
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| 关 键 词： | 齐性复流形 例外对称域 超圆 扩充空间 闭的辛子群 |
| 收稿时间： | 1991-6-25 |
| 修稿时间： | 1992-4-22 |
Two Non-Compact Homogeneous Complex Analytic Manifolds |
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| Chen Jiyang.Two Non-Compact Homogeneous Complex Analytic Manifolds[J].Acta Mathematica Sinica,1994,37(3):349-361. |
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| Authors: | Chen Jiyang |
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| Institution: | Chen Jiyang (Department of Mathematics, Fuzhou Techer's college, Fuzhou 350005, China) |
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| Abstract: | In this paper, two non-compact homogeneous complex analytic manifolds are presented. We first discuss the structure of the two complex analytic manifolds and give some homogeneous complex analytic submanifolds. We apply the results obtained to the extended spaces of the two exceptional symmetric domains. Secondly, we obtain analytic flexhomeomohpism groups of the two exceptional symmetric domains from affine flexhomeomorhpism groups on the complex manifolds, and we prove that they are closed symelectic subgroups. |
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| Keywords: | homogeneous complex manifolds exceptional symmetric domain hypercricle extended space closed symelectic subgroup |
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