A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
| 31 mar 2018
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Publicado en línea: 31 mar 2018
Páginas: 107 - 123
Recibido: 23 dic 2016
Aceptado: 31 ene 2017
DOI: https://doi.org/10.1515/auom-2017-0039
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© 2018
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.