Matsumoto metrics of constant flag curvature are trivial

Details Matsumoto metrics of constant flag curvature are trivial Matsumoto metrics of constant flag curvature are trivial

2011-09-13

arxiv.org/abs/1109.2754v2

Mathematics

Differential Geometry

Scientific paper

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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