The geometry of Randers cylinders of revolution with non-constant navigation data along meridians

DOI10.4064/ap221017-13-8MaRDI QIDQ6184955

Vasile Sorin Sabau, Nathaphon Boonnam, Rattanasak Hama

Publication date: 29 January 2024

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

zbMATH Keywords

cut locusRanders metricsZermelo navigation problem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

• The structure theorem for the cut locus of a certain class of cylinders of revolution. II.
• Zermelo navigation on Riemannian manifolds
• The structure theorem for the cut locus of a certain class of cylinders of revolution. I.
• Geodesics in Randers spaces of constant curvature
• The cut locus of a Randers rotational 2-sphere of revolution
• A Simple Proof of Descartes's Rule of Signs
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