No CrossRef data available.
Article contents
Complexifying Lie Group Actions on Homogeneous Manifolds of Non-compact Dimension Two
Published online by Cambridge University Press: 20 November 2018
Abstract
If $X$ is a connected complex manifold with
${{d}_{X}}\,=\,2$ that admits a (connected) Lie group
$G$ acting transitively as a group of holomorphic transformations, then the action extends to an action of the complexification
$\widehat{G}$ of
$G$ on
$X$ except when either the unit disk in the complex plane or a strictly pseudoconcave homogeneous complex manifold is the base or fiber of some homogeneous fibration of
$X$.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2014