Navigation problem on Finsler manifolds

نویسندگان
Mo, Xiaohuan ID 1
Zhang, Hongzhen ID 2

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

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

doi
10.22060/ajmc.2021.20355.1064
چکیده

In this article, we are going to discuss the geometry of the navigation problem on a Finsler manifold. We will give proofs for several important local and global results.

کلیدواژه‌ها
Randers Metric, $S$-curvature, Finsler metric, $(\alpha, \beta)$-metric, flag curvature