1. CJM 2002 (vol 54 pp. 1254)
|Effective Actions of the Unitary Group on Complex Manifolds |
We classify all connected $n$-dimensional complex manifolds admitting effective actions of the unitary group $U_n$ by biholomorphic transformations. One consequence of this classification is a characterization of $\CC^n$ by its automorphism group.
Keywords:complex manifolds, group actions