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Torsions of Connections on Higher Order Cotangent Bundles

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Abstract

By a torsion of a general connection Γ on a fibered manifold Y → M we understand the Frölicher-Nijenhuis bracket of Γ and some canonical tangent valued one-form (affinor) on Y. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.

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Authors and Affiliations

  1. Department of Mathematics, FSI VUT Brno, Technická 2, 616 69, Brno, Czech Republic

    Miroslav Doupovec

  2. Institute of Mathematics, Maria Curie-Skłodowska University, Plac Marii Curie-Skłodowskej 1, 20-031, Lublin, Poland

    Jan Kurek

Authors
  1. Miroslav Doupovec
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  2. Jan Kurek
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Doupovec, M., Kurek, J. Torsions of Connections on Higher Order Cotangent Bundles. Czech Math J 53, 949–962 (2003). https://doi.org/10.1023/B:CMAJ.0000024533.75199.eb

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  • DOI: https://doi.org/10.1023/B:CMAJ.0000024533.75199.eb

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