Mathematics – Complex Variables
Scientific paper
2000-08-29
Mathematics
Complex Variables
Also available from http://wwwmaths.anu.edu.au/research.reports/00mrr.html
Scientific paper
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 ${\bf C}^n$ by
its automorphism group.
Isaev Alexander V.
Kruzhilin N. G.
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