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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 defined) Finsler function. In this paper we use Hilbert-type forms to state a number of different ways of specifying necessary and sufficient 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 fields, 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 defined) Finsler function. In this paper we use Hilbert-type forms to state a number of different ways of specifying necessary and sufficient 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 fields, totally-geodesic submanifolds of a spray space, and the equivalence of path geometries and projective-equivalence classes of sprays. (en)
Title
  • The multiplier approach to the projective Finsler metrizability problem
  • The multiplier approach to the projective Finsler metrizability problem (en)
skos:prefLabel
  • The multiplier approach to the projective Finsler metrizability problem
  • The multiplier approach to the projective Finsler metrizability problem (en)
skos:notation
  • RIV/61988987:17310/12:A13016A8!RIV13-GA0-17310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika
  • 6
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
  • 152452
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17310/12:A13016A8
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 field; totally-geodesic submanifold (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [29CB564EB9AC]
http://linked.open...i/riv/nazevZdroje
  • Differential Geometry and its Applications
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
  • 30
http://linked.open...iv/tvurceVysledku
  • Saunders, David john
  • Crampin, Mike
  • Mestdag, T.
issn
  • 0926-2245
number of pages
http://localhost/t...ganizacniJednotka
  • 17310
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