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-C.
Trapani, S. (2006). Torus actions on weakly pseudoconvex spaces. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 358(5), 1971-1981 [10.1090/S0002-9947-05-04053-5].
Torus actions on weakly pseudoconvex spaces
TRAPANI, STEFANO
2006-01-01
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-C.File in questo prodotto:
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