Sprays metrizable by Finsler functions of constant flag curvature

DOI10.1016/j.difgeo.2013.02.001zbMath1281.53074arXiv1212.1248OpenAlexW3101890391WikidataQ115356620 ScholiaQ115356620MaRDI QIDQ387055

Zoltán Muzsnay, Ioan Bucataru

Publication date: 11 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1248

zbMATH Keywords

flag curvatureFinsler metrizabilitiesisotropic sprays

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) 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 ⋮ Almost analytic Kähler forms with respect to a quadratic endomorphism with applications in Riemann-Finsler geometry ⋮ On sprays of scalar curvature and metrizability ⋮ Inverse problem of left invariant sprays on Lie groups ⋮ A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami theorem ⋮ Time geodesics on a slippery slope under gravitational wind ⋮ FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM

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