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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 a Andreas CAP. Weyl structures for parabolic geometries. \textit{Mathematica Scandinavica}. Aarhus: Aarhus Universitet, roč.~93, č.~1, s.~53-90. ISSN~0025-5521. 2003.
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