Navigation problem on Finsler manifolds

Document Type : Original Article

Authors

Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, China

10.22060/ajmc.2021.20355.1064

Abstract

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.

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