Generalized Zermelo navigation on Hermitian manifolds with a critical wind

DOI10.1007/s00025-017-0757-6zbMath1394.53030OpenAlexW2763799361MaRDI QIDQ681271

Piotr Kopacz, Nicoleta Aldea

Publication date: 30 January 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0757-6

zbMATH Keywords

perturbationcomplex Kropina metricHermitian-Finsler manifoldZermelo navigation problem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Local differential geometry of Hermitian and Kählerian structures (53B35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Classification of time-optimal paths under an external force based on Jacobi stability in Finsler space ⋮ Zermelo deformation of Hermitian metrics by holomorphic vector fields ⋮ A note on time-optimal paths on perturbed spheroid ⋮ Generalized loxodromes with application to time-optimal navigation in arbitrary wind ⋮ Time-extremal navigation in arbitrary winds on conformally flat Riemannian manifolds ⋮ Application of planar Randers geodesics with river-type perturbation in search models ⋮ On generalization of Zermelo navigation problem on Riemannian manifolds

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