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. 
@article{IVM_2010_10_a7,
     author = {A. Yu. Danshin},
     title = {Generating infinitesimal almost projective transformations in the tangent bundle of a~generalized path space by projective transformations of the base manifold},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--76},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a7/}
}
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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/