Front: [math/0412507] Characterization of the unit ball in ${\bf C}^n$ among complex manifolds of dimension $n$

Fri, 9 May 2008
Front > math > CV > 0412 > math/0412507

search | register | submit
journals | about | iFAQ

math/0412507

Title: Characterization of the unit ball in ${\bf C}^n$ among complex manifolds of dimension $n$
Authors: Alexander Isaev
Categories: math.CV Complex Variables
Comments: J. Geometric Analysis 14(2004), 697-700; erratum, to appear in J. Geometric Analysis 18(2008), no. 3
MSC: 32M05, 32C10

Abstract: 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 $\CC\PP^n\setminus\bar{B^n}$.

Owner: Alexander Isaev
Version 1: Tue, 28 Dec 2004 00:56:18 GMT
Version 2: Tue, 25 Mar 2008 02:22:48 GMT

- for questions or comments about the Front
arXiv contact page - for questions about downloading and submitting e-prints