On Riemannian non symmetric spaces and flag manifolds
| dc.creator | Bouyakoub, Abelkader | |
| dc.creator | Goze, Michel | |
| dc.creator | Remm, Elisabeth | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T07:25:22Z | |
| dc.date.available | 2026-07-07T07:25:22Z | |
| dc.description | In this work we study riemannian metrics on flag manifolds adapted to the symmetries of these homogeneous nonsymmetric spaces. We first introduce the notion of riemannian $Γ$-symmetric space when $Γ$ is a general abelian finite group, the symmetric case corresponding to $Γ=\Z_2$. We describe and study all the riemannian metrics on $SO(2n+1)/SO(r_1)\times SO(r_2)\times SO(r_3)\times SO(2n+1-r_1-r_2-r_3)$ for which the symmetries are isometries. We consider also the lorentzian case and give an example of a lorentzian homogeneous space which is not a symmetric space. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0609790 | |
| dc.identifier | http://arxiv.org/abs/math/0609790 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116691 | |
| dc.subject | Differential Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 53C20 53C35 | |
| dc.title | On Riemannian non symmetric spaces and flag manifolds | |
| dc.type | text |