On the flag curvature of a class of Finsler metrics produced by the navigation problem

DOI10.2140/PJM.2015.277.149zbMath1322.58007OpenAlexW1623992619MaRDI QIDQ494954

Xiaohuan Mo, Libing Huang

Publication date: 8 September 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2015.277.149

zbMATH Keywords

Finsler metricflag curvaturenavigation problemconformal field

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (10)

Examples of flag-wise positively curved spaces ⋮ Moving planes, Jacobi curves and the dynamical approach to Finsler geometry ⋮ The isoparametric functions on a class of Finsler spheres ⋮ Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\) ⋮ Conformal vector fields on Finsler manifolds ⋮ On conformal fields of a class of orthogonally invariant Finsler metrics ⋮ Zermelo deformation of Finsler metrics by Killing vector fields ⋮ The navigation problems on a class of conic Finsler manifolds ⋮ Homogeneous Finsler spaces and the flag-wise positively curved condition ⋮ On the Landsberg curvature of a class of Finsler metrics generated from the navigation problem

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