On the structure of infinitesimal almost projective transformations in the tangent bundle of a~general space of path
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 71-75

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We obtain the necessary conditions for a vector field on a tangent bundle to be an infinitesimal almost projective transformation of a general path space in the case when sets of autoparallel curves are the Yano–Okubo–Kagan natural lift of tensor fields of the base manifold.
Keywords: infinitesimal almost projective transformation, general path space, tangent bundle, Yano–Okubo–Kagan natural lift.
@article{IVM_2010_9_a5,
     author = {A. Yu. Danshin},
     title = {On the structure of infinitesimal almost projective transformations in the tangent bundle of a~general space of path},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--75},
     publisher = {mathdoc},
     number = {9},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_9_a5/}
}
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A. Yu. Danshin. On the structure of infinitesimal almost projective transformations in the tangent bundle of a~general space of path. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 71-75. http://geodesic.mathdoc.fr/item/IVM_2010_9_a5/