"[4DF3D6FFD19B]" . "372004" . "Mike\u0161, Josef" . . . . "4" . "The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mike\u0161 and N. S. Sinyukov naturally extends the theory of geodesic and holomorphic projective mappings. In the present paper we find basic equations of infinitesimal F-planar mappings and study these equations. The F-planar mappings are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and spaces with affine connection endowed by affinor structures was investigated by A.P. Shirokov who also studied mappings between spaces of this." . "RIV/61989592:15310/08:00005332" . "1066-369X" . . "RIV/61989592:15310/08:00005332!RIV09-MSM-15310___" . "Russian Mathematics" . "Infinitesimal F -planar transformations"@en . . "The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mike\u0161 and N. S. Sinyukov naturally extends the theory of geodesic and holomorphic projective mappings. In the present paper we find basic equations of infinitesimal F-planar mappings and study these equations. The F-planar mappings are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and spaces with affine connection endowed by affinor structures was investigated by A.P. Shirokov who also studied mappings between spaces of this."@en . . "52" . "F-planar mapping; space with affine connection; projective transformation; infinitesimal F-planar transformation"@en . . "P(GA201/05/2707), Z(MSM6198959214)" . . . "Infinitesim\u00E1ln\u00ED F-plan\u00E1rn\u00ED transformace"@cs . . "Infinitesimal F -planar transformations"@en . "Infinitesimal F -planar transformations" . . . . . "Infinitesim\u00E1ln\u00ED F-plan\u00E1rn\u00ED transformace"@cs . "15310" . "Str\u00E1nsk\u00E1, Jana" . . . "Teorie F-plan\u00E1rn\u00EDch zobrazen\u00ED Riemannov\u00FDch prostor\u016F a prostor\u016F s\u00A0afinn\u00ED konex\u00ED za\u010Dali studovat J. Mike\u0161 a N.S. Sinyukov, je p\u0159irozen\u00FDm zobecn\u011Bn\u00EDm teorie geodetick\u00FDch a holomorfn\u011B projektivn\u00EDch zobrazen\u00ED. V\u00A0\u010Dl\u00E1nku jsou nalezeny rovnice infinitesim\u00E1ln\u00EDch F-plan\u00E1rn\u00EDch transformac\u00ED a tyto rovnice se d\u00E1le studuj\u00ED. F-plan\u00E1rn\u00ED zobrazen\u00ED zachv\u00E1vaj\u00ED afinorn\u00ED struktury. Geometrii Riemannov\u00FDch variet a variet s\u00A0afinn\u00ED konex\u00ED s\u00A0afinorn\u00EDmi strukturami studoval A.P. \u0160irokov, kter\u00FD tak\u00E9 studoval podobn\u00E1 zobrazen\u00ED"@cs . "Hinterleitner, Irena" . "6"^^ . "Infinitesimal F -planar transformations" . "2"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "3"^^ . . . .