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ISSN 1088-6850(e) ISSN 0002-9947(p)

Torus actions on weakly pseudoconvex spaces

Author: Stefano Trapani
Journal: Trans. Amer. Math. Soc. 358 (2006), 1971-1981
MSC (2000): Primary 32M05, 32U10
Posted: December 20, 2005
MathSciNet review: 2197438
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Abstract: We show that the univalent local actions of the complexification of a compact connected Lie group on a weakly pseudoconvex space where is acting holomorphically have a universal orbit convex weakly pseudoconvex complexification. We also show that if is a torus, then every holomorphic action of on a weakly pseudoconvex space extends to a univalent local action of $K^{\mathbf{C}}.$

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