Geodesic
On Weil bundles
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 100-114

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In the paper, some lifts of tensor fields and linear connections given on a smooth manifold of the class $C^{\infty}$ to its Weil bundle $M_n^{\mathbb{A}}$ are considered. A brief review of results on the theory of second-order Weil bundles obtained in recent years is given.
Keywords: differentiable manifold, Weil bundle, vertical lift of a tensor field, horizontal lift of a tensor field, horizontal lift of a linear connection, complete lift of a linear connection. 
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A. Ya. Sultanov; O. A. Monakhova; G. A. Sultanova. On Weil bundles. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). Moscow, November 1–4, 2021. Part 3, Tome 222 (2023), pp. 100-114. http://geodesic.mathdoc.fr/item/INTO_2023_222_a9/