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  • The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally de?ned) Finsler function. In this paper we use Hilbert-type forms to state a number of di?erent ways of specifying necessary and su?cient conditions for this to be the case, and we show that they are equivalent. We also address several related issues of interest including path spaces, Jacobi ?elds, totally-geodesic submanifolds of a spray space, and the equivalence of path geometries and projective-equivalence classes of sprays.
  • The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally de?ned) Finsler function. In this paper we use Hilbert-type forms to state a number of di?erent ways of specifying necessary and su?cient conditions for this to be the case, and we show that they are equivalent. We also address several related issues of interest including path spaces, Jacobi ?elds, totally-geodesic submanifolds of a spray space, and the equivalence of path geometries and projective-equivalence classes of sprays. (en)
Title
  • Hilbert forms for a Finsler metrizable projective class of sprays
  • Hilbert forms for a Finsler metrizable projective class of sprays (en)
skos:prefLabel
  • Hilbert forms for a Finsler metrizable projective class of sprays
  • Hilbert forms for a Finsler metrizable projective class of sprays (en)
skos:notation
  • RIV/61988987:17310/13:A14019Y7!RIV14-GA0-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika
  • 1
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
  • 77448
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/13:A14019Y7
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Spray; projective equivalence; geodesic path; path geometry; Finsler function; projective metrizability; Hilbert form; almost Grassmann structure; path space; Jacobi ?eld; totally-geodesic submanifold (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [0A54D9147934]
http://linked.open...i/riv/nazevZdroje
  • DIFFER GEOM APPL
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
  • 31
http://linked.open...iv/tvurceVysledku
  • Mestdag, T.
  • Crampin, M.
  • Saunders, David John
issn
  • 0926-2245
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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