Geodesic
Projective metrizability in Finsler geometry
Communications in Mathematics, Tome 20 (2012) no. 1, pp. 63-68 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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. This paper describes an approach to the problem using an analogue of the multiplier approach to the inverse problem in Lagrangian mechanics.
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. This paper describes an approach to the problem using an analogue of the multiplier approach to the inverse problem in Lagrangian mechanics.
Classification : 53C60
Keywords: Finsler function; spray; projective equivalence; geodesic path; projective metrizability; Hilbert form 
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Saunders, David. Projective metrizability in Finsler geometry. Communications in Mathematics, Tome 20 (2012) no. 1, pp. 63-68. http://geodesic.mathdoc.fr/item/COMIM_2012_20_1_a6/

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