On conformal vector fields on Randers manifolds

DOI10.1007/s11425-012-4414-yzbMath1267.53027OpenAlexW2002535560MaRDI QIDQ1933958

Qiaoling Xia, Zhong-min Shen

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4414-y

zbMATH Keywords

Randers metricflag curvaturenavigation problemconformal vector field

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (21)

Conformal vector fields on some Finsler manifolds ⋮ The conformal vector fields on conic Kropina manifolds via navigation data ⋮ Weakly conformal Finsler geometry ⋮ Conformal vector fields on Finsler warped product manifolds ⋮ The conformal vector fields on Kropina manifolds ⋮ Conformal vector fields of projectively flat \(( \alpha,\beta )\)-Finsler spaces ⋮ Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces ⋮ Randers metrics based on deformations by gradient winds ⋮ Unnamed Item ⋮ On conformal fields of a Randers metric with isotropic \(S\)-curvature ⋮ Conformal vector fields on Finsler manifolds ⋮ Conformal vector fields on complete Finsler spaces of constant Ricci curvature ⋮ On conformal fields of a class of orthogonally invariant Finsler metrics ⋮ On conformally flat cubic \((\alpha,\beta)\)-metrics ⋮ The navigation problems on a class of conic Finsler manifolds ⋮ On the flag curvature of a class of Randers metric generated from the navigation problem ⋮ Projective vector fields on Finsler manifolds ⋮ Isoparametric hypersurfaces of a class of Finsler manifolds induced by navigation problem in Minkowski spaces ⋮ The explicit construction of all dually flat Randers metrics ⋮ On generalization of Zermelo navigation problem on Riemannian manifolds ⋮ A CLASS OF RANDERS METRICS OF SCALAR FLAG CURVATURE

Cites Work

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• On Randers metrics with isotropic \(S\)-curvature
• Zermelo navigation on Riemannian manifolds
• On geodesics of Finsler metrics via navigation problem
• Finsler Metrics with K = 0 and S = 0
• On an Asymmetrical Metric in the Four-Space of General Relativity
• RANDERS METRICS OF SCALAR FLAG CURVATURE

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