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Description
  • The functional equations which make possible to generalize the notion of geodesics from smooth Riemannian manifold to arbitrary metric spaces are presented. Necessary and sufficient conditions for the set of all geodesics generated by some metric to be a set of generalized geodesic in the topological sense are derived. An example and a conterexample to such a situation are introduced.
  • The functional equations which make possible to generalize the notion of geodesics from smooth Riemannian manifold to arbitrary metric spaces are presented. Necessary and sufficient conditions for the set of all geodesics generated by some metric to be a set of generalized geodesic in the topological sense are derived. An example and a conterexample to such a situation are introduced. (en)
Title
  • Functional aquations for metric geodesic arcs
  • Functional aquations for metric geodesic arcs (en)
skos:prefLabel
  • Functional aquations for metric geodesic arcs
  • Functional aquations for metric geodesic arcs (en)
skos:notation
  • RIV/47813059:19610/02:00000098!RIV/2003/GA0/196103/N
http://linked.open.../vavai/riv/strany
  • 197;201
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/0724), Z(MSM 192400002)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 646644
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  • RIV/47813059:19610/02:00000098
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Functional definition of geodesic; metric geodesic arcs; topological geodesic arcs; Riemannian gometry; convex regions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [06A0B24638F7]
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  • Opava
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  • Opava
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  • Differential geometry and its applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...ocetUcastnikuAkce
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
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  • Klapka, Lubomír
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number of pages
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  • Slezská univerzita v Opavě
https://schema.org/isbn
  • 80-7248-166-5
http://localhost/t...ganizacniJednotka
  • 19610
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