The cut locus of a Randers rotational 2-sphere of revolution

DOI10.5486/PMD.2018.8126zbMath1424.53106arXiv1808.03381OpenAlexW2963068453WikidataQ125762365 ScholiaQ125762365MaRDI QIDQ4615253

Jaipong Kasemsuwan, Vasile Sorin Sabau, Rattanasak Hama

Publication date: 1 February 2019

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

Full work available at URL: https://arxiv.org/abs/1808.03381

zbMATH Keywords

cut locusGaussian curvatureRanders metrics2-sphere of revolution

Mathematics Subject Classification ID

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

Related Items (4)

Abnormal geodesics in 2D-Zermelo navigation problems in the case of revolution and the Fan shape of the small time balls ⋮ Zermelo navigation problems on surfaces of revolution and geometric optimal control ⋮ The geometry of Randers cylinders of revolution with non-constant navigation data along meridians ⋮ A Zermelo navigation problem with a vortex singularity

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