Geodesic
Lie Jets and Higher-Order Partial Connections
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 122-129.

Voir la notice de l'article provenant de la source Math-Net.Ru

Higher-order partial connections are studied in the paper. We find conditions under which the Lie jet of the field of a geometric object $\xi$ in the direction of the field of Weil $\mathbb{A}$-velocities $Y$ coincides with the covariant derivative $\nabla_Y\xi$ of this field with respect to some higher-order partial connection.
Mots-clés : Weil algebra, Lie jet.
Keywords: Weil bundle, partial connection, higher-order connection, Lie derivative 
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V. V. Shurygin. Lie Jets and Higher-Order Partial Connections. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Tome 148 (2018), pp. 122-129. http://geodesic.mathdoc.fr/item/INTO_2018_148_a14/

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