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Higher order jet involution

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Abstract

We introduce an exchange natural isomorphism between iterated higher order jet functors depending on a classical linear connection on the base manifold. As an application we study the prolongation of higher order connections to jet bundles.

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Authors and Affiliations

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

    M. Doupovec

  2. Institute of Mathematics, Jagiellonian University, Reymonta 4, Kraków, Poland

    W. M. Mikulski

Authors
  1. M. Doupovec
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  2. W. M. Mikulski
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Additional information

The first author was supported by the grant of the GA ČR No 201/05/0523.

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Doupovec, M., Mikulski, W.M. Higher order jet involution. Czech Math J 57, 933–945 (2007). https://doi.org/10.1007/s10587-007-0086-0

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  • DOI: https://doi.org/10.1007/s10587-007-0086-0

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