The explicit construction of all dually flat Randers metrics

DOI10.1142/S0129167X17500586zbMath1371.53072OpenAlexW2618537818MaRDI QIDQ4975374

Huaifu Liu, Xiaohuan Mo

Publication date: 4 August 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x17500586

zbMATH Keywords

dually flatRanders metricsnavigation datadually relatedstrongly dually flat

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 (2)

Randers metrics based on deformations by gradient winds ⋮ On dually flat square metrics

Cites Work

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• On conformal fields of a Randers metric with isotropic \(S\)-curvature
• On Randers metrics with isotropic \(S\)-curvature
• Zermelo navigation on Riemannian manifolds
• On conformal vector fields on Randers manifolds
• On the construction of dually flat Finsler metrics
• Riemann-Finsler geometry with applications to information geometry
• On dually flat Randers metrics
• ON LOCALLY DUALLY FLAT FINSLER METRICS
• ON CHARACTERIZATIONS OF RANDERS NORMS IN A MINKOWSKI SPACE
• Finsler Metrics with K = 0 and S = 0

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