On a class of projectively flat Finsler metrics with flag curvature \(K=1\)

DOI10.1016/J.DIFGEO.2013.05.001zbMath1279.53021OpenAlexW239008589WikidataQ115356586 ScholiaQ115356586MaRDI QIDQ385752

Bing Xu, Ben-ling Li

Publication date: 11 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2013.05.001

zbMATH Keywords

Finsler metricprojectively flatflag curvaturespecial generalized fourth root metric

Mathematics Subject Classification ID

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

Related Items (8)

Projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms ⋮ On dually flat Finsler metrics ⋮ On generalized 4-th root metrics of isotropic scalar curvature ⋮ Reversible Finsler metrics of constant flag curvature ⋮ On the classification of projectively flat Finsler metrics with constant flag curvature ⋮ On generalized Kropina change of $m$th root Finsler metrics with special curvature properties ⋮ Four families of projectively flat Finsler metrics with \(\mathbf{K}=1\) and their non-Riemannian curvature properties ⋮ A new class of projectively flat Finsler metrics with constant flag curvature \(K=1\)

Cites Work

• Projectively flat Finsler 2-spheres of constant curvature
• Projectively Flat Fourth Root Finsler Metrics
• Projectively flat Finsler metrics of constant flag curvature
• Finsler metrics with constant (or scalar) flag curvature
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