Geodesic
Generating infinitesimal almost projective transformations in the tangent bundle of a~generalized path space by projective transformations of the base manifold
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 73-76.

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We obtain conditions under which an almost projective infinitesimal transformation on the tangent bundle of a general space of paths is a Yano–Okubo–Kagan complete lift of an infinitesimal projective transformation of a base manifold.
Keywords: infinitesimal almost projective transformations, general space of paths, tangent bundle, Yano–Okubo–Kagan lift. 
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A. Yu. Danshin. Generating infinitesimal almost projective transformations in the tangent bundle of a~generalized path space by projective transformations of the base manifold. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 73-76. http://geodesic.mathdoc.fr/item/IVM_2010_10_a7/

[1] Danshin A. Yu., “Infinitezimalnye proektivnye preobrazovaniya s estestvennym liftom svyaznosti obschego prostranstva putei”, Izv. vuzov. Matematika, 1997, no. 9, 8–12 | MR | Zbl

[2] Rund Kh., Differentsialnaya geometriya finslerovykh prostranstv, Nauka, M., 1981 | MR | Zbl

[3] Aminova A. V., “Opredelenie beskonechno malykh pochti proektivnykh preobrazovanii”, Gravitatsiya i teoriya otnositelnosti, 13, 1976, 3–9 | MR

[4] Aminova A. V., “Gruppy pochti proektivnykh dvizhenii prostranstv affinnoi svyaznosti”, Izv. vuzov. Matematika, 1979, no. 4, 71–75 | MR | Zbl

[5] Danshin A. Yu., “O strukture vektornykh polei infinitezimalnykh pochti proektivnykh preobrazovanii v kasatelnom rassloenii obschego prostranstva putei”, Izv. vuzov. Matematika, 2010, no. 9, 71–75

[6] Kagan F. I., “K teorii liftov tenzornykh polei iz mnogoobraziya v ego kasatelnyi puchok”, Izv. vuzov. Matematika, 1969, no. 9, 37–46 | MR | Zbl