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arXiv · 1109.2754

Matsumoto metrics of constant flag curvature are trivial

M. Rafie-Rad·B. Rezaei
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Abstract

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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M. Rafie-Rad, B. Rezaei. 2012-07-19. Matsumoto metrics of constant flag curvature are trivial. https://arxiv.org/abs/1109.2754

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