A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
Abstract
We generalize the Zermelo navigation problem and its solution 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 W determined by a strong velocity vector field satisfying |W(x)|h=|u(x)|h, with application of Finsler metric of Kropina type.
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