Weyl structures for parabolic geometries
| Authors | |
|---|---|
| Year of publication | 2003 |
| Type | Article in Periodical |
| Magazine / Source | Mathematica Scandinavica |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Cartan Connection; Parabolic Geometry; Weyl Structure; Conformal Geometry |
| Description | 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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