A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
| 31 mar 2018
INFORMAZIONI SU QUESTO ARTICOLO
Pubblicato online: 31 mar 2018
Pagine: 107 - 123
Ricevuto: 23 dic 2016
Accettato: 31 gen 2017
DOI: https://doi.org/10.1515/auom-2017-0039
Parole chiave
© 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.