Publication details
SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Transformation Groups |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1007/s00031-013-9231-z |
| Field | General mathematics |
| Keywords | parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures |
| Description | 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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