SLOVÁK, Jan and Andreas CAP. Weyl structures for parabolic geometries. Mathematica Scandinavica. Aarhus: Aarhus Universitet, 2003, vol. 93, No 1, p. 53-90. ISSN 0025-5521.
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Basic information
Original name Weyl structures for parabolic geometries
Authors SLOVÁK, Jan (203 Czech Republic, guarantor) and Andreas CAP (40 Austria).
Edition Mathematica Scandinavica, Aarhus, Aarhus Universitet, 2003, 0025-5521.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Denmark
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.328
RIV identification code RIV/00216224:14310/03:00008190
Organization unit Faculty of Science
UT WoS 000186229900004
Keywords in English Cartan Connection; Parabolic Geometry; Weyl Structure; Conformal Geometry
Tags Cartan connection, Conformal Geometry, parabolic geometry, Weyl Structure
Changed by Changed by: prof. RNDr. Jan Slovák, DrSc., učo 1424. Changed: 20/7/2008 07:19.
Abstract
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.
Links
GA201/99/0296, research and development projectName: Diferenciální geometrie vyššího řádu
Investor: Czech Science Foundation, Differential geometry of higher order
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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