Classical Symmetries of Complex Manifolds
Date
2010
Authors
Huckleberry, Alan
Isaev, Alexander
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
We consider complex manifolds that admit actions by holomorphic transformations of classical simple real Lie groups and classify all such manifolds in a natural situation. Under our assumptions, which require the group at hand to be dimension-theoretically large with respect to the manifold on which it is acting, our classification result states that the manifolds which arise are described precisely as invariant open subsets of certain complex flag manifolds associated to the complexified groups.
Description
Keywords
Complex manifolds, Lie group actions, Holomorphic automorphisms
Citation
Collections
Source
Journal of Geometric Analysis
Type
Journal article