Torus actions on weakly pseudoconvex spaces
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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 $K^{\mathbf {C}}.$References
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Additional Information
- Stefano Trapani
- Affiliation: Dipartimento di Matematica, Universita’ di Roma 2 Tor Vergata, Via della Ricerca Scientifica, 00133 Roma, Italy
- Email: trapani@mat.uniroma2.it
- Received by editor(s): August 7, 2003
- Received by editor(s) in revised form: January 27, 2004
- Published electronically: December 20, 2005
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 1971-1981
- MSC (2000): Primary 32M05, 32U10
- DOI: https://doi.org/10.1090/S0002-9947-05-04053-5
- MathSciNet review: 2197438