Geometric properties of homogeneous parabolic geometries with generalized symmetries
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.difgeo.2016.09.008 |
| Field | General mathematics |
| Keywords | Homogeneous parabolic geometries; Generalized symmetries; Holonomy reductions; Correspondence and twistor spaces; Invariant distributions; Invariant Weyl connections |
| Description | We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpret them explicitly. For specific types of parabolic geometries, we prove that the reductions correspond to known generalizations of symmetric spaces. In addition, we illustrate our results on an explicit example and provide a complete classification of possible non-trivial cases. |
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