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Description
  • Motivated by the analogies between the projective and the almost quaternionic geometries, we first study the generalizd planar curves and mappings. We follow, recover, and extend the classical approach. Then we exploit the impact of the general results in the almost quaternionic geometry. In particular, we show, that the natural class of H-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving this class turns out to be the necessary and sufficient condition on diffeomorphisms to become morphisms of almost quaternionic geometries.
  • Motivated by the analogies between the projective and the almost quaternionic geometries, we first study the generalizd planar curves and mappings. We follow, recover, and extend the classical approach. Then we exploit the impact of the general results in the almost quaternionic geometry. In particular, we show, that the natural class of H-planar curves coincides with the class of all geodesics of the so called Weyl connections and preserving this class turns out to be the necessary and sufficient condition on diffeomorphisms to become morphisms of almost quaternionic geometries. (en)
Title
  • Generalized planar curves and quaternionic geometry
  • Generalized planar curves and quaternionic geometry (en)
skos:prefLabel
  • Generalized planar curves and quaternionic geometry
  • Generalized planar curves and quaternionic geometry (en)
skos:notation
  • RIV/00216224:14330/06:00015927!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/2117), P(GD201/05/H005)
http://linked.open...iv/cisloPeriodika
  • 29
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 476799
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/06:00015927
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • planar curves; quaternionic geometry; generalized geodetics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [3C0A3945D73D]
http://linked.open...i/riv/nazevZdroje
  • Annals of Global Analysis and Geometry
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
  • 2006
http://linked.open...iv/tvurceVysledku
  • Hrdina, Jaroslav
  • Slovák, Jan
http://linked.open...ain/vavai/riv/wos
  • 0002391
issn
  • 0232-704X
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
is http://linked.open...avai/riv/vysledek of
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