Freedom of \(h(2)\)-variationality and metrizability of sprays

DOI10.1016/j.difgeo.2017.03.020zbMath1376.53094arXiv1609.06581OpenAlexW2962957644WikidataQ115355473 ScholiaQ115355473MaRDI QIDQ2403939

Zoltán Muzsnay, Salah G. Elgendi

Publication date: 12 September 2017

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

Full work available at URL: https://arxiv.org/abs/1609.06581

zbMATH Keywords

sprayholonomyLagrangianEuler-Lagrange equationconnectionisotropic sprays

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) 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) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Inverse problems in optimal control (49N45)

Related Items

Frobenius integrability and Finsler metrizability for 2-dimensional sprays ⋮ On the existence of parallel one forms ⋮ Jacobi fields and conjugate points for a projective class of sprays ⋮ Coordinate-free study of Finsler spaces of $H_{p}$-scalar curvature

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