On generalization of Zermelo navigation problem on Riemannian manifolds
Abstract
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds (M, h) admitting a space dependence of a ship's own speed |u(x)|h≤1 in the presence of a perturbation W determined by a mild velocity vector field |W(x)|h<|u(x)|h, with application of Finsler metric of Randers type.
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