Effective actions of the unitary group on complex manifolds

A. V. Isaev; N. G. Kruzhilin

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arXiv · math/0008219

Effective actions of the unitary group on complex manifolds

A. V. Isaev·N. G. Kruzhilin

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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 ${\bf C}^n$ by its automorphism group.

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A. V. Isaev, N. G. Kruzhilin. 2000-08-29. Effective actions of the unitary group on complex manifolds. https://arxiv.org/abs/math/0008219

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