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Keywords:
Finsler function; spray; projective equivalence; geodesic path; projective metrizability; Hilbert form
Finsler function; spray; projective equivalence; geodesic path; projective metrizability; Hilbert form
Summary:
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.
References:
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[3] Crampin, M., Mestdag, T., Saunders, D.J.: Hilbert forms for a Finsler metrizable projective class of sprays. Diff. Geom. Appl., to appear
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