Effective actions of the unitary group on complex manifolds

Abstract

We classify all connected $n$-dimensional complex manifolds admitting an effective action of the unitary group $U_n$ by biholomorphic transformations. One consequence of this classification is a characterization of ${\mathbf{C}}^n$ by its automorphism group.

arXiv commentAlso available from http://wwwmaths.anu.edu.au/research.reports/00mrr.html

References in corpus (1)

• On the automorphism groups of hyperbolic manifolds