两个非紧致齐性复解析流形  

Two Non-Compact Homogeneous Complex Analytic Manifolds

作　　者：陈纪阳 

机构地区：[1]福州师范专科学校数学系,福州350005

出　　处：《数学学报（中文版）》1994年第3期349-361,共13页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金;福建省自然科学基金资助项目.

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．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.

关 键 词：齐性复流形 例外对称域 非紧致 

分 类 号：O174.56[理学—数学]