SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES
| Autoři | |
|---|---|
| Rok publikování | 2013 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Transformation Groups |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s00031-013-9231-z |
| Obor | Obecná matematika |
| Klíčová slova | parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures |
| Popis | We discuss parabolic contact geometries carrying a smooth system of symmetries. We show that there is a symmetric space such that the parabolic geometry (G -> M, w) is a fibre bundle over this symmetric space if and only if the base manifold M is a homogeneous reflexion space. We investigate the conditions under which there is an invariant geometric structure on this symmetric space induced by the parabolic contact geometry. |
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