Constructions on second order connections

J. Kurek¹ ; W. M. Mikulski²

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

Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 215-223.

Résumé

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 $A$.

Détail

DOI : 10.4064/ap92-3-2

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