Weyl structures for parabolic geometries

  title={Weyl structures for parabolic geometries},
  author={Andreas {\vC}ap and Jan Slov{\'a}k},
  journal={Mathematica Scandinavica},
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… 

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