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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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AHS-structures and affine holonomies
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by Andreas Čap PDF
Proc. Amer. Math. Soc. 137 (2009), 1073-1080 Request permission

Abstract:

We show that a large class of non-metric, non-symplectic affine holonomies can be realized, uniformly and without case by case considerations, by Weyl connections associated to the natural AHS–structures on certain generalized flag manifolds.
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Additional Information
  • Andreas Čap
  • Affiliation: Institut für Mathematik, Universität Wien, Nordbergstrasse 15, A–1090 Wien,Austria – and – International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, A–1090 Wien, Austria
  • Email: Andreas.Cap@esi.ac.at
  • Received by editor(s): April 22, 2008
  • Published electronically: October 22, 2008
  • Additional Notes: The author was supported by project P 19500–N13 of the “Fonds zur Förderung de wissenschaftlichen Forschung” (FWF)
  • Communicated by: Jon G. Wolfson
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1073-1080
  • MSC (2000): Primary 53C29, 53C10; Secondary 53C15, 53C30, 53B15
  • DOI: https://doi.org/10.1090/S0002-9939-08-09722-0
  • MathSciNet review: 2457449