A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation

DOI10.1515/auom-2017-0039zbMath1424.53042arXiv1606.01036OpenAlexW3099617899WikidataQ115236951 ScholiaQ115236951MaRDI QIDQ5382825

Piotr Kopacz

Publication date: 18 June 2019

Published in: Analele Universitatii "Ovidius" Constanta - Seria Matematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01036

zbMATH Keywords

perturbationZermelo navigationKropina metrictime-minimal pathRiemann-Finsler manifold

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Existence theories for optimal control problems involving ordinary differential equations (49J15) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local Riemannian geometry (53B20)

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