Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 222, Pages 100–114
DOI: https://doi.org/10.36535/0233-6723-2023-222-100-114 (Mi into1146) 		 
On Weil bundles

A. Ya. Sultanov, O. A. Monakhova, G. A. Sultanova

Penza State University
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DOI: https://doi.org/10.36535/0233-6723-2023-222-100-114
Abstract: 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.
Document Type: Article
UDC: 514.76
MSC: 53B05, 53A55
Language: Russian
Citation: A. Ya. Sultanov, O. A. Monakhova, G. A. Sultanova, “On Weil bundles”, 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, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 222, VINITI, Moscow, 2023, 100–114
Citation in format AMSBIB
\Bibitem{SulMonSul23}
\by A.~Ya.~Sultanov, O.~A.~Monakhova, G.~A.~Sultanova
\paper On Weil bundles
\inbook 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
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 222
\pages 100--114
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1146}
\crossref{https://doi.org/10.36535/0233-6723-2023-222-100-114}
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