Document Type : Original Article
Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, China
Roughly speaking, a Finsler metric F on a manifold M is a C1 function F on the slit tangent bundle TM0 := TMnf0g, whose restriction to each tangent space TxM. is a Minkowski norm. The pair (M; F ) is called a Finsler manifold. Finsler geometry is the geometry of exploring Finsler manifolds.