A Remark on a Theorem by Kodama and Shimizu
| dc.creator | Isaev, A. V. | |
| dc.date | 2007-11-29 | |
| dc.date | 2008-03-23 | |
| dc.date.accessioned | 2026-07-07T09:27:45Z | |
| dc.date.available | 2026-07-07T09:27:45Z | |
| dc.description | We prove a characterization theorem for the unit polydisc $Δ^n\subset\CC^n$ 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 $\hbox{Aut}(M)$ of holomorphic automorphisms of $M$ acts on $M$ with compact isotropy subgroups, and (ii) $\hbox{Aut}(M)$ and $\hbox{Aut}(Δ^n)$ are isomorphic as topological groups equipped with the compact-open topology, then $M$ is holomorphically equivalent to $Δ^n$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4648 | |
| dc.identifier | http://arxiv.org/abs/0711.4648 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157219 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M05 | |
| dc.title | A Remark on a Theorem by Kodama and Shimizu | |
| dc.type | text |