Weyl structures for parabolic geometries

• Autoři: SLOVÁK Jan; CAP Andreas
• Rok publikování: 2003
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Mathematica Scandinavica
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• 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.

Související projekty

• Diferenciální geometrie vyššího řádu
• Matematické struktury algebry a geometrie