Effective actions of the unitary group on complex manifolds
classification
🧮 math.CV
keywords
groupcomplexeffectivemanifoldsunitaryactionactionsadmitting
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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.
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