Geodesics and Jacobi fields of pseudo-Finsler manifolds

DOI10.5486/PMD.2015.7028zbMath1374.53067arXiv1401.8149MaRDI QIDQ2973102

Miguel Ángel Javaloyes, Bruno Learth Soares

Publication date: 31 March 2017

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.8149

zbMATH Keywords

geodesicsJacobi fieldsChern connectionFinsler

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Connections (general theory) (53C05)

Related Items (12)

A note on the existence of tubular neighbourhoods on Finsler manifolds and minimization of orthogonal geodesics to a submanifold ⋮ On a monodromy theorem for sheaves of local fields and applications ⋮ On Finsler transnormal functions ⋮ Finsler pp-waves and the Penrose limit ⋮ The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds ⋮ On singular Finsler foliation ⋮ Anisotropic conformal invariance of lightlike geodesics in pseudo-Finsler manifolds ⋮ Curvature computations in Finsler geometry using a distinguished class of anisotropic connections ⋮ Penrose’s singularity theorem in a Finsler spacetime ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ Splitting lemmas for the Finsler energy functional on the space ofH¹-curves ⋮ ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS

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