Matsumoto metrics of constant flag curvature are trivial

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.

arXiv commentThis paper has been withdrawn by the author due to a computational error