Characterization of the unit ball in ${\bf C}^n$ among complex manifolds of dimension $n$
| dc.creator | Isaev, Alexander | |
| dc.date | 2004-12-28 | |
| dc.date | 2008-03-25 | |
| dc.date.accessioned | 2026-07-07T09:28:09Z | |
| dc.date.available | 2026-07-07T09:28:09Z | |
| dc.description | We show that if the group of holomorphic automorphisms of a connected complex manifold $M$ of dimension $n$ is isomorphic as a topological group equipped with the compact-open topology to the automorphism group of the unit ball $B^n\subset\CC^n$, then $M$ is biholomorphically equivalent to either $B^n$ or $\CC\PP^n\setminus\bar{B^n}$. | |
| dc.description | J. Geometric Analysis 14(2004), 697-700; erratum, to appear in J. Geometric Analysis 18(2008), no. 3 | |
| dc.identifier | https://arxiv.org/abs/math/0412507 | |
| dc.identifier | http://arxiv.org/abs/math/0412507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157351 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M05, 32C10 | |
| dc.title | Characterization of the unit ball in ${\bf C}^n$ among complex manifolds of dimension $n$ | |
| dc.type | text |