Gauge natural constructions on higher order principal prolongations

Volume 92 / 2007

Miroslav Doupovec, W/lodzimierz M. Mikulski Annales Polonici Mathematici 92 (2007), 87-97 MSC: 58A05, 58A20. DOI: 10.4064/ap92-1-9

Abstract

Let $W^r_mP$ be a principal prolongation of a principal bundle $P\to M$. We classify all gauge natural operators transforming principal connections on $P\to M$ and $r$th order linear connections on $M$ into general connections on $W^r_mP\to M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on $P\to M$ and $r$th order linear connections on $M$.

Authors

  • Miroslav DoupovecDepartment of Mathematics
    Brno University of Technology
    FSI VUT Brno, Technická 2
    616 69 Brno, Czech Republic
    e-mail
  • W/lodzimierz M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Krak/ow, Poland
    e-mail

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