Addendum to our characterization of the unit polydisc

Kodai Mathematical Journal

Akio Kodama²  Satoru Shimizu¹ 

[1] Mathematical Institute Tohoku University;Division of Mathematical and Physical Sciences Graduate School of Natural Science and Technology Kanazawa University

关键词: Holomorphic automorphism groups;    Reinhardt domains;    Torus actions;    Unit polydisc;   

DOI  :  10.2996/kmj/1278076335

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(12)In 2008, we obtained an intrinsic characterization of the unit polydisc Δn in Cn from the viewpoint of the holomorphic automorphism group. In connection with this, A. V. Isaev investigated the structure of a complex manifold M with the property that every isotropy subgroup of the holomorphic automorhism group of M is compact, and obtained the same characterization of Δn as ours among the class of all such manifolds. In this paper, we establish some extensions of these results. In particular, Isaev's characterization of the unit polydisc Δn is extended to that of any bounded symmetric domain in Cn.

【 授权许可】

Unknown