Complex extensions of semisimple symmetric spaces
| dc.creator | Geatti, Laura | |
| dc.date | 2006-03-03 | |
| dc.date.accessioned | 2026-07-07T07:06:31Z | |
| dc.date.available | 2026-07-07T07:06:31Z | |
| dc.description | Let G/H be a pseudo-Riemannian semisimple symmetric space. The tangent bundle T(G/H) contains a maximal G-invariant neighbourhood of the zero section where the adapted complex structure exists. Such neighbourhood is endowed with a canonical G-invariant pseudo-Kaehler metric of the same signature as the metric on G/H. We use the polar map from T(G/H) to the complexified symmetric space G^C/H^C to define a G-invariant pseudo-Kaehler metric on distinguished G-invariant domains in G^C/H^C or on coverings of principal orbit strata in G^C/H^C. | |
| dc.description | 20 pages, to appear on Manuscr. Math. 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0603105 | |
| dc.identifier | http://arxiv.org/abs/math/0603105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110057 | |
| dc.subject | Complex Variables | |
| dc.subject | Representation Theory | |
| dc.title | Complex extensions of semisimple symmetric spaces | |
| dc.type | text |