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.
Other formats:   BibTeX LaTeX RIS
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.
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.
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
PrintDisplayed: 29/6/2022 19:48