ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS OF NEGATIVE CONSTANT FLAG CURVATURE

DOI10.1142/S0129167X1250084XzbMath1257.58009OpenAlexW1980524649MaRDI QIDQ2909481

Xiaohuan Mo, Hongmei Zhu

Publication date: 30 August 2012

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

Full work available at URL: https://doi.org/10.1142/s0129167x1250084x

zbMATH Keywords

Finsler metricconstant flag curvatureprojectively flat metric

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (15)

Examples of Finsler metrics with special curvature properties ⋮ On Finsler surfaces of constant flag curvature with a Killing field ⋮ On isoperimetric problem in 2-dimensional Randers space ⋮ Finsler warped product metrics with special Riemannian curvature properties ⋮ On isoperimetric problem in a 2-dimensional Finsler space of Funk type ⋮ The isoperimetric problem in the 2-dimensional Finsler space forms with k = 0 ⋮ On projectively flat Finsler warped product metrics of constant flag curvature ⋮ On conformal fields of a class of orthogonally invariant Finsler metrics ⋮ On some explicit constructions of dually flat Finsler metrics ⋮ On some dually flat Finsler metrics with orthogonal invariance ⋮ The isoperimetric problem in the 2-dimensional Finsler space forms with 𝑘=0. II ⋮ ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE ⋮ On Finsler surfaces of constant curvature with two-dimensional isometry group ⋮ A class of Finsler metrics of scalar flag curvature ⋮ On the construction of dually flat Finsler metrics

Cites Work

• On a new class of Finsler metrics
• On some Finsler metrics of non-positive constant flag curvature
• Two-dimensional Finsler metrics with constant flag curvature
• Projectively flat Randers metrics with constant flag curvature
• On Some Explicit Constructions of Finsler Metrics with Scalar Flag Curvature
• Finsler Metrics of Constant Positive Curvature on the Lie Group S ³
• Projectively flat Finsler metrics of constant flag curvature
• ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS WITH CONSTANT FLAG CURVATURE
• On an Asymmetrical Metric in the Four-Space of General Relativity

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