Lie algebras of infinitesimal affine transformations of tangent 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 103-108.

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In this paper, we examine maximal dimensions of Lie algebras of infinitesimal affine transformations of tangent bundles with a complete lift connection over spaces with a semisymmetric connection.
Keywords: tangent bundle, Lie algebra, semisymmetric connection.
Mots-clés : infinitesimal affine transform
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G. A. Sultanova. Lie algebras of infinitesimal affine transformations of tangent 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 103-108. http://geodesic.mathdoc.fr/item/INTO_2020_180_a14/

[1] Egorov I. P., Dvizheniya v prostranstvakh affinnoi svyaznosti, Izd-vo Kazansk. un-ta, Kazan, 1965

[2] Egorov I. P., Geometriya, Prosveschenie, M., 1979 | MR

[3] Norden A. P., Prostranstva affinnoi svyaznosti, Nauka, M., 1976 | MR

[4] Sultanov A. Ya., “Prodolzheniya tenzornykh polei i svyaznostei v rassloeniya Veilya”, Izv. vuzov. Mat., 1999, no. 9, 64–72 | Zbl

[5] Sultanova G. A., “O nekotorykh podalgebrakh algebry Li infinitezimalnykh affinnykh preobrazovanii kasatelnogo rassloeniya $TM$ so svyaznostyu polnogo lifta”, Sb. nauch. statei Mezhdunar. konf. «Lomonosovskie chteniya na Altae: Fundamentalnye problemy nauki i obrazovaniya», Izd-vo Altaisk. un-ta, Barnaul, 2014, 378–381

[6] Shadyev Kh., “Affinnaya kollineatsiya sinekticheskoi svyaznosti v kasatelnom rassloenii”, Tr. geom. semin., 16 (1984), 117–127 | MR | Zbl

[7] Yano K., Tangent and Cotangent Bundles, Marcel Dekker, New York, 1973 | MR | Zbl