Effective actions of the unitary group on complex manifolds

Alexander V. Isaev; N. G. Kruzhilin

doi:10.4153/CJM-2002-048-2

Effective actions of the unitary group on complex manifolds

Alexander V. Isaev^*, N. G. Kruzhilin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

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 ℂⁿ by its automorphism group.

Original language	English
Pages (from-to)	1254-1279
Number of pages	26
Journal	Canadian Journal of Mathematics
Volume	54
Issue number	6
DOIs	https://doi.org/10.4153/CJM-2002-048-2
Publication status	Published - 2002

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title = "Effective actions of the unitary group on complex manifolds",

abstract = "We classify all connected n-dimensional complex manifolds admitting effective actions of the unitary group Un by biholomorphic transformations. One consequence of this classification is a characterization of ℂn by its automorphism group.",

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AU - Kruzhilin, N. G.

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KW - Group actions

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DO - 10.4153/CJM-2002-048-2

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JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

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Effective actions of the unitary group on complex manifolds

Abstract

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