FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM

DOI10.1017/S1446788714000111zbMath1307.53060arXiv1303.5832OpenAlexW3101392047MaRDI QIDQ2877687

Zoltán Muzsnay, Ioan Bucataru

Publication date: 25 August 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5832

zbMATH Keywords

Hilbert's fourth problemflag curvatureFinsler metrizabilityisotropic sprays

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Inverse problems in optimal control (49N45)

Related Items

Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature, Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces, Frobenius integrability and Finsler metrizability for 2-dimensional sprays, On sprays of scalar curvature and metrizability, About the projective Finsler metrizability: First steps in the non-isotropic case

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