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Some Gauge-natural operators on linear connections

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Abstract

We determine explicitly all geometrical operators transforming a linear connection on a vector bundle π:E→M and a classical linear connection on the base manifoldM into a classical linear connection on the total spaceE.

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Authors and Affiliations

  1. Instytut Matematyki, Universytet Jagielloński, ul. Reymonta 4, 30-059, Kraków, Poland

    Jacek Gancarzewicz

  2. branch Brno, Mathematical Institute of the ČSAV, Mendelovo nám. 1, 662 82, Brno, Czechoslovakia

    Ivan Kolář

Authors
  1. Jacek Gancarzewicz
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  2. Ivan Kolář
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Gancarzewicz, J., Kolář, I. Some Gauge-natural operators on linear connections. Monatshefte für Mathematik 111, 23–33 (1991). https://doi.org/10.1007/BF01299274

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  • DOI: https://doi.org/10.1007/BF01299274

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