Geodesic
Semisymmetric horizontal lifts of linear connections from the base to the bundle of doubly covariant tensors
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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 96-102.

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In this paper, we obtain necessary and sufficient conditions under which the horizontal lift of a linear connection on the bundle of doubly covariant tensors is a semisymmetric connection.
Keywords: bundle of doubly covariant tensors, horizontal lift of a linear connection, semisymmetric connection. 
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A. Ya. Sultanov; O. A. Monakhova. Semisymmetric horizontal lifts of linear connections from the base to the bundle of doubly covariant tensors. 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 96-102. http://geodesic.mathdoc.fr/item/INTO_2020_180_a13/

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