On a class of locally projectively flat Finsler metrics

DOI10.1142/S0129167X1650052XzbMath1344.53016OpenAlexW2341262681MaRDI QIDQ5739771

Zhong-min Shen, Ben-ling Li

Publication date: 20 July 2016

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

Full work available at URL: https://doi.org/10.1142/s0129167x1650052x

zbMATH Keywords

Finsler metricgeneral \((\alpha,\beta)\)-metriclocally projectively flatgeodesic of Finsler metric

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 (10)

Projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms ⋮ On Landsberg general \((\alpha,\beta)\)-metrics with a conformal 1-form ⋮ On Douglas general \((\alpha,\beta)\)-metrics ⋮ Reduction of certain projectively flat Finsler metrics ⋮ On a class of almost regular Landsberg metrics ⋮ On a class of projectively flat Finsler metrics ⋮ On cylindrical symmetric projectively flat Finsler metrics ⋮ Unnamed Item ⋮ On a class of locally projectively flat Finsler metrics (II) ⋮ Four families of projectively flat Finsler metrics with \(\mathbf{K}=1\) and their non-Riemannian curvature properties

Cites Work

• Unnamed Item
• On a class of Ricci-flat Finsler metrics in Finsler geometry
• On a new class of Finsler metrics
• On Randers metrics with isotropic \(S\)-curvature
• Projectively flat Finsler 2-spheres of constant curvature
• ON LOCALLY DUALLY FLAT FINSLER METRICS
• ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS WITH CONSTANT FLAG CURVATURE

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