Weyl structures for parabolic geometries
| Autoři | |
|---|---|
| Rok publikování | 2003 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Mathematica Scandinavica |
| Fakulta / Pracoviště MU | |
| Citace | |
| Obor | Obecná matematika |
| Klíčová slova | Cartan Connection; Parabolic Geometry; Weyl Structure; Conformal Geometry |
| Popis | Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and Rho--tensors, we characterize the classes of such objects, and we use the results to give a new description of the Cartan bundles and connections for all parabolic geometries. |
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