Navigation problem and conformal vector fields

نویسندگان

1 Department of Mathematics, School of Sciences Hangzhou Dianzi University Hangzhou, Zhejiang Province, 310028, P.R.China

doi
10.22060/ajmc.2021.20208.1057
چکیده

The navigation technique is very effective to obtain or classify a Finsler metric from a given a Finsler metric (especially a Riemannian metric) under an action of a vector field on a differential manifold. In this survey, we will survey some recent progress on the navigation problem and conformal vector fields on Finsler manifolds, and their applications in the classifications of some Finsler metrics of scalar (resp. constant) flag curvature.