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 $\mathcal{D}:J^2⇝J^2{V}^A$ transforming second order connections $\Gamma :Y\to J^{2}Y$ on a fibred manifold $Y\to M$ into second order connections $\mathcal{D}(\Gamma ):V^{A}Y\to J^2{V}^{A}Y$ on the vertical Weil bundle $V^{A}Y\to M$ corresponding to a Weil algebra $A$.

Détail

DOI : 10.4064/ap92-3-2

Mots-clés : 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