Matsumoto metrics of constant flag curvature are trivial
classification
🧮 math.DG
math-phmath.MP
keywords
constantcurvatureflagmatsumotometricsbeendimensioneither
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The local structure of Finsler metrics of constant flag curvature have been historically mysterious. It is proved that every Matsumoto metric of constant flag curvature on a manifold of dimension n \geq 3 is either Riemannian or locally Minkowskian.
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