Weyl structures for parabolic geometries

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.

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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Denmark

Confidentiality degree

není předmětem státního či obchodního tajemství

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

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Abstract

V originále

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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Links

GA201/99/0296, research and development project	Name: 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