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  • Teorie F-planárních zobrazení Riemannových prostorů a prostorů s afinní konexí začali studovat J. Mikeš a N.S. Sinyukov, je přirozeným zobecněním teorie geodetických a holomorfně projektivních zobrazení. V článku jsou nalezeny rovnice infinitesimálních F-planárních transformací a tyto rovnice se dále studují. F-planární zobrazení zachvávají afinorní struktury. Geometrii Riemannových variet a variet s afinní konexí s afinorními strukturami studoval A.P. Širokov, který také studoval podobná zobrazení (cs)
  • The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mikeš 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.
  • The theory of F-planar mappings of Riemannian spaces and spaces with affine connection developed by J. Mikeš 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)
Title
  • Infinitesimal F -planar transformations
  • Infinitesimal F -planar transformations (en)
  • Infinitesimální F-planární transformace (cs)
skos:prefLabel
  • Infinitesimal F -planar transformations
  • Infinitesimal F -planar transformations (en)
  • Infinitesimální F-planární transformace (cs)
skos:notation
  • RIV/61989592:15310/08:00005332!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/2707), Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
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http://linked.open...dnocenehoVysledku
  • 372004
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/08:00005332
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • F-planar mapping; space with affine connection; projective transformation; infinitesimal F-planar transformation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [4DF3D6FFD19B]
http://linked.open...i/riv/nazevZdroje
  • Russian Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 52
http://linked.open...iv/tvurceVysledku
  • Mikeš, Josef
  • Hinterleitner, Irena
  • Stránská, Jana
http://linked.open...n/vavai/riv/zamer
issn
  • 1066-369X
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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