Navigation problem and conformal vector fields

Document Type : Original Article

Author

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

Abstract

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.

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