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arxiv: 1311.5926 · v1 · pith:MUXQZJ5Xnew · submitted 2013-11-22 · 🧮 math.DG

On Matsumoto metrics of scale flag curvature

classification 🧮 math.DG
keywords matsumotometricalphabetacurvatureflagcontributesflat
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This paper contributes to the study of the Matsumoto metric F=alpha^2/beta, where the alpha is a Riemannian metric and the beta is a one form. It is shown that such a Matsumoto metric F is of scalar flag curvature if and only if F is projectively flat.

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