Constructions on second order connections

Volume 92 / 2007

J. Kurek, W. M. Mikulski Annales Polonici Mathematici 92 (2007), 215-223 MSC: 58A05, 58A20. DOI: 10.4064/ap92-3-2


We classify all ${\mathcal F}{\mathcal M}_{m,n}$-natural operators ${\mathcal D}:J^2 \rightsquigarrow J^2V^A$ transforming second order connections ${\mit \Gamma }:Y\to J^2Y$ on a fibred manifold $Y\to M$ into second order connections ${\mathcal D}({\mit \Gamma }):V^AY\to J^2V^AY$ on the vertical Weil bundle $V^AY\to M$ corresponding to a Weil algebra $A$.


  • J. KurekInstitute of Mathematics
    Maria Curie-Sk/lodowska University
    Pl. Marii Curie-Sk/lodowskiej 1
    20-031 Lublin, Poland
  • W. M. MikulskiInstitute of Mathematics
    Jagiellonian University
    Reymonta 4
    30-059 Krak/ow, Poland

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