Convexity properties of gradient maps
| dc.creator | Heinzner, Peter | |
| dc.creator | Schuetzdeller, Patrick | |
| dc.date | 2007-10-05 | |
| dc.date.accessioned | 2026-07-07T08:34:22Z | |
| dc.date.available | 2026-07-07T08:34:22Z | |
| dc.description | We consider the action of a real reductive group G on a Kaehler manifold Z which is the restriction of a holomorphic action of the complexified group G^C. We assume that the induced action of a compatible maximal compact subgroup U of G^C on Z is Hamiltonian. We have an associated gradient map obtained from a Cartan decomposition of G. For a G-stable subset Y of Z we consider convexity properties of the intersection of the image of Y under the gradient map with a closed Weyl chamber. Our main result is a Convexity Theorem for real semi-algebraic subsets Y of the projective space corresponding to a unitary representation of U. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0710.1152 | |
| dc.identifier | http://arxiv.org/abs/0710.1152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139411 | |
| dc.subject | Complex Variables | |
| dc.subject | 32M05 | |
| dc.title | Convexity properties of gradient maps | |
| dc.type | text |