两个非紧致齐性复解析流形

Two Non-Compact Homogeneous Complex Analytic Manifolds

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.