Projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms

DOI10.1016/j.difgeo.2016.01.007zbMath1336.53037OpenAlexW2255078038WikidataQ115355751 ScholiaQ115355751MaRDI QIDQ268424

Wangfu Liu, Ben-ling Li

Publication date: 15 April 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.01.007

zbMATH Keywords

Finsler metricprojectively flatEuclidean metric

Mathematics Subject Classification ID

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

Related Items (6)

Dually flat general spherically symmetric Finsler metrics ⋮ On a class of Finsler metrics of scalar flag curvature defined by the Euclidean metric and related 1-forms ⋮ On projective invariants of general spherically symmetric Finsler spaces in \(\mathbb{R}^n\) ⋮ The general spherically symmetric Finsler metrics with isotropic \(E\)-curvature ⋮ General spherically symmetric Finsler metrics with constant Ricci and flag curvature ⋮ On some classes of projectively flat Finsler metrics with constant flag curvature

Cites Work

• Deformations and Hilbert's fourth problem
• On a class of projectively flat Finsler metrics with flag curvature \(K=1\)
• On a new class of Finsler metrics
• Some constructions of projectively flat Finsler metrics
• Some projectively flat \((\alpha, \beta)\)-metrics
• Projectively flat Finsler 2-spheres of constant curvature
• On the classification of projectively flat Finsler metrics with constant flag curvature
• On Projectively Flat (α, β)-metrics
• On a Class of Landsberg Metrics in Finsler Geometry
• Projectively flat Finsler metrics of constant flag curvature
• Spherically symmetric Finsler metrics in $R^n$
• On a class of locally projectively flat Finsler metrics

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