Wind Riemannian spaceforms and Randers-Kropina metrics of constant flag curvature

DOI10.1007/s40879-017-0186-9zbMath1384.53062arXiv1701.01273OpenAlexW3103101028WikidataQ115371563 ScholiaQ115371563MaRDI QIDQ1695714

Miguel Sánchez, Miguel Ángel Javaloyes

Publication date: 8 February 2018

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

Full work available at URL: https://arxiv.org/abs/1701.01273

zbMATH Keywords

Finsler metricsZermelo navigationmodel spaceconstant flag curvature\((\alpha , \beta )\)-metricRanders and Kropina metricswind Finslerian structureRanders spaceforms

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (9)

Submersion and homogeneous spray geometry ⋮ The flag curvature of a submanifold of a Randers-Minkowski space in terms of Zermelo data ⋮ Isoparametric hypersurfaces induced by navigation in Lorentz Finsler geometry ⋮ An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ Huygens’ envelope principle in Finsler spaces and analogue gravity ⋮ Some remarks on Einstein-Randers metrics ⋮ Applications of cone structures to the anisotropic rheonomic Huygens' principle ⋮ On the definition and examples of cones and Finsler spacetimes ⋮ Anisotropic connections and parallel transport in Finsler spacetimes

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