A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation
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...
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Format: | Article |
Language: | English |
Published: |
Sciendo
2017-12-01
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Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
Subjects: | |
Online Access: | https://doi.org/10.1515/auom-2017-0039 |