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  • In this paper we prove that all affine connection manifolds are locally projectively equivalent to some space with equiaffine connection (equiaffine manifold). We found a system of linear equations which determine all (pseudo-) Riemannian spaces admitting geodesic mappings onto an a-priori defined space with affine connection.
  • In this paper we prove that all affine connection manifolds are locally projectively equivalent to some space with equiaffine connection (equiaffine manifold). We found a system of linear equations which determine all (pseudo-) Riemannian spaces admitting geodesic mappings onto an a-priori defined space with affine connection. (en)
  • Dokázáno, že všechny variety s afinní konexí jsou lokálně projektivní některé ekvafinní varietě. Nalezena soustava lineárních rovnic, která určuje všechna geodetická zobrazení na (pseudo-) Riemannovy variety apriorně zadané variety s afinní konexí. (cs)
Title
  • On geodesic mappings of affine connection manifolds
  • O geodetických zobrazeních variet s afinní konexí (cs)
  • On geodesic mappings of affine connection manifolds (en)
skos:prefLabel
  • On geodesic mappings of affine connection manifolds
  • O geodetických zobrazeních variet s afinní konexí (cs)
  • On geodesic mappings of affine connection manifolds (en)
skos:notation
  • RIV/61989592:15310/08:00005664!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 1
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  • 384591
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  • RIV/61989592:15310/08:00005664
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  • Geodesic mapping; equaffine manifold; manifold with affine connection; Riemannian manifold. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [E7D92F8E5041]
http://linked.open...i/riv/nazevZdroje
  • Acta Physica Debrecina
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
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  • 42
http://linked.open...iv/tvurceVysledku
  • Mikeš, Josef
  • Hinterleitner, Irena
  • Kiosak, Volodymyr
http://linked.open...n/vavai/riv/zamer
issn
  • 1789-6088
number of pages
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  • 15310
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