On geodesics of Finsler metrics via navigation problem
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Publication:3020389
DOI10.1090/S0002-9939-2011-10726-3zbMath1261.53037MaRDI QIDQ3020389
Publication date: 4 August 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Related Items (19)
Generalized Zermelo navigation on Hermitian manifolds under mild wind ⋮ Isometries, submetries and distance coordinates on Finsler manifolds ⋮ On conformal vector fields on Randers manifolds ⋮ A Finsler geodesic spray paradigm for wildfire spread modelling ⋮ Isoparametric hypersurfaces induced by navigation in Lorentz Finsler geometry ⋮ The isoparametric functions on a class of Finsler spheres ⋮ Unnamed Item ⋮ Zermelo deformation of Hermitian metrics by holomorphic vector fields ⋮ Sharp uncertainty principles on general Finsler manifolds ⋮ On conformal fields of a Randers metric with isotropic \(S\)-curvature ⋮ On singular Finsler foliation ⋮ On some Finsler metrics of non-positive constant flag curvature ⋮ On some explicit constructions of dually flat Finsler metrics ⋮ Inner Radius Estimates and Rigidity for a Finsler Measure Space with Boundary ⋮ Geodesic orbit spheres and constant curvature in Finsler geometry ⋮ Finsler spaces whose geodesics are orbits ⋮ On the Landsberg curvature of a class of Finsler metrics generated from the navigation problem ⋮ On generalization of Zermelo navigation problem on Riemannian manifolds ⋮ ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE
Cites Work
- On Randers metrics with isotropic \(S\)-curvature
- On the Ricci curvature of a Randers metric of isotropic \(S\)-curvature
- A global classification result for Randers metrics of scalar curvature on closed manifolds
- Multiple closed geodesics on 3-spheres
- Zermelo navigation on Riemannian manifolds
- Two-dimensional Finsler metrics with constant flag curvature
- Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres
- The existence of two closed geodesics on every Finsler 2-sphere
- Geodesics in Randers spaces of constant curvature
- ON RANDERS METRICS OF QUADRATIC RIEMANN CURVATURE
- Finsler Metrics with K = 0 and S = 0
- The geometry of Hamilton and Lagrange spaces
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