A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
| Mar 31, 2018
About this article
Published Online: Mar 31, 2018
Page range: 107 - 123
Received: Dec 23, 2016
Accepted: Jan 31, 2017
DOI: https://doi.org/10.1515/auom-2017-0039
Keywords
© 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.