Torus actions on weakly pseudoconvex spaces

Trapani, Stefano

doi:10.1090/S0002-9947-05-04053-5

Torus actions on weakly pseudoconvex spaces
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by Stefano Trapani PDF

Trans. Amer. Math. Soc. 358 (2006), 1971-1981 Request permission

Abstract:

We show that the univalent local actions of the complexification of a compact connected Lie group $K$ on a weakly pseudoconvex space where $K$ is acting holomorphically have a universal orbit convex weakly pseudoconvex complexification. We also show that if $K$ is a torus, then every holomorphic action of $K$ on a weakly pseudoconvex space extends to a univalent local action of $K^{\mathbf {C}}.$

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