Weyl structures for parabolic geometries

Authors

  • Andreas Čap
  • Jan Slovák

DOI:

https://doi.org/10.7146/math.scand.a-14413

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.

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Published

2003-09-01

How to Cite

Čap, A., & Slovák, J. (2003). Weyl structures for parabolic geometries. MATHEMATICA SCANDINAVICA, 93(1), 53–90. https://doi.org/10.7146/math.scand.a-14413

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Section

Articles