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With the extended navigation data, we consider the generalized Zermelo navigation on Riemannian manifolds, admitting a space-dependent ship’s speed in the presence of perturbation determined by a weak velocity vector… Click to show full abstract
With the extended navigation data, we consider the generalized Zermelo navigation on Riemannian manifolds, admitting a space-dependent ship’s speed in the presence of perturbation determined by a weak velocity vector field, with application of Finsler metric of Randers type. The approach is shown via indicatrix and inner product. We also compare our findings in the context of conformality for the cases of weak and critical winds. The study is illustrated with the example in dimension 2.
Keywords:
navigation problem;
riemannian manifolds;
zermelo navigation;
problem riemannian;
navigation;
generalization zermelo
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!