A Remark on a Theorem by Kodama and Shimizu
Date
2008-04-22
Authors
Isaev, Alexander
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
We prove a characterization theorem for the unit polydisc Δⁿ ⊂ ℂⁿ in the spirit of a recent result due to Kodama and Shimizu. We show that if M is a connected n-dimensional complex manifold such that (i) the group Aut (M) of holomorphic automorphisms of M acts on M with compact isotropy subgroups, and (ii) Aut (M) and Aut (Δⁿ ) are isomorphic as topological groups equipped with the compact-open topology, then M is holomorphically equivalent to Δⁿ.
Description
Keywords
Complex manifolds, Automorphism groups
Citation
Collections
Source
Journal of Geometric Analysis
Type
Journal article