1Institute of Mathematics Maria Curie-Sk/lodowska University Pl. Marii Curie-Sk/lodowskiej 1 20-031 Lublin, Poland 2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 215-223
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 $A$.
Keywords:
classify mathcal mathcal natural operators mathcal rightsquigarrow transforming second order connections mit gamma fibred manifold second order connections mathcal mit gamma vertical weil bundle corresponding weil algebra
Affiliations des auteurs :
J. Kurek
1
;
W. M. Mikulski
2
1
Institute of Mathematics Maria Curie-Sk/lodowska University Pl. Marii Curie-Sk/lodowskiej 1 20-031 Lublin, Poland
2
Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
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author = {J. Kurek and W. M. Mikulski},
title = {Constructions on second order connections},
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J. Kurek; W. M. Mikulski. Constructions on second order connections. Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 215-223. doi: 10.4064/ap92-3-2
