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@article{488938, author = {Slovák, Jan and Cap, Andreas}, article_location = {Aarhus}, article_number = {1}, keywords = {Cartan Connection; Parabolic Geometry; Weyl Structure; Conformal Geometry}, language = {eng}, issn = {0025-5521}, journal = {Mathematica Scandinavica}, title = {Weyl structures for parabolic geometries}, volume = {93}, year = {2003} }
TY - JOUR ID - 488938 AU - Slovák, Jan - Cap, Andreas PY - 2003 TI - Weyl structures for parabolic geometries JF - Mathematica Scandinavica VL - 93 IS - 1 SP - 53-90 EP - 53-90 PB - Aarhus Universitet SN - 00255521 KW - Cartan Connection KW - Parabolic Geometry KW - Weyl Structure KW - Conformal Geometry N2 - 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. ER -
SLOVÁK, Jan and Andreas CAP. Weyl structures for parabolic geometries. \textit{Mathematica Scandinavica}. Aarhus: Aarhus Universitet, 2003, vol.~93, No~1, p.~53-90. ISSN~0025-5521.
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