Geodesic
Infinitesimal $F$-planar transformations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 16-21

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The theory of $F$-planar maps of Riemannian spaces and affinely connected spaces developed by J. Mikeš and N. S. Sinyukov [1–6] naturally extends the theory of geodesic and holomorphic projective maps. In the present paper we find basic equations of infinitesimal F-planar maps and study these equations. The $F$-planar maps are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and affinely connected spaces endowed by affinor structures was investigated by A. P. Shirokov (see, e.g., [7–14]) who also studied maps between spaces of this type ([13, 14]).
Keywords: $F$-planar map, affinely connected space, infinitesimal $F$-planar map.
Mots-clés : projective transformation 
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     author = {I. Hinterleitner and J. Mikesh and Ya. Stranska},
     title = {Infinitesimal $F$-planar transformations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--21},
     publisher = {mathdoc},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_4_a1/}
}
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I. Hinterleitner; J. Mikesh; Ya. Stranska. Infinitesimal $F$-planar transformations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2008), pp. 16-21. http://geodesic.mathdoc.fr/item/IVM_2008_4_a1/