On generalization of Zermelo navigation problem on Riemannian manifolds

Published 21 Apr 2016 in math.DG and math.OC | (1604.06487v1)

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 $|u(x)|_h\leq1$ 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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Authors (1)

Piotr Kopacz

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