A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
| 31. März 2018
Über diesen Artikel
Online veröffentlicht: 31. März 2018
Seitenbereich: 107 - 123
Eingereicht: 23. Dez. 2016
Akzeptiert: 31. Jan. 2017
DOI: https://doi.org/10.1515/auom-2017-0039
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© 2018
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We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x)|h, with application of Finsler metric of Kropina type.