Effective actions of the unitary group on complex manifolds

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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.
Also available from http://wwwmaths.anu.edu.au/research.reports/00mrr.html

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Complex Variables, 32Q57, 32M17

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http://salesiana.dossiersoluciones.com/handle/123456789/59815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008219
 http://arxiv.org/abs/math/0008219

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arXiv