Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces
| dc.creator | Toth, Arpad | |
| dc.creator | Varolin, Dror | |
| dc.date | 2004-11-19 | |
| dc.date.accessioned | 2026-07-07T05:14:31Z | |
| dc.date.available | 2026-07-07T05:14:31Z | |
| dc.description | The density property for a Stein manifold X implies that the group of holomorphic diffeomorphisms of X is infinite-dimensional and, in a certain well-defined sense, as large as possible. We prove that if G is a complex semisimple Lie group of adjoint type and K is a reductive subgroup, then G/K has the density property. This theorem is a non-trivial extension of an earlier result of ours, which handles the case of complex semi-simple Lie groups. We also establish the density property for some other complex homogeneous spaces by ad hoc methods. Finally, we introduce a lifting method that extends many results on complex manifolds with the density property to covering spaces of such manifolds. | |
| dc.identifier | https://arxiv.org/abs/math/0411439 | |
| dc.identifier | http://arxiv.org/abs/math/0411439 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73300 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M10 | |
| dc.title | Holomorphic DIffeomorphisms of Semisimple Homogeneous Spaces | |
| dc.type | text |