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

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.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - Geometria
English
FIBER-BUNDLES; EXTENSIONS; LEVI
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].
Trapani, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/28835
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