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1. CJM 2002 (vol 54 pp. 1254)

Isaev, A. V.; Kruzhilin, N. G.
 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 actionsCategories:32Q57, 32M17
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