Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 2 2 2021 09 01 Navigation problem and conformal vector fields 199 212 4457 10.22060/ajmc.2021.20208.1057 EN Qiaoling Xia Department of Mathematics, School of Sciences Hangzhou Dianzi University Hangzhou, Zhejiang Province, 310028, P.R.China 0000-0002-6754-2870 Journal Article 2021 06 26 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.  https://ajmc.aut.ac.ir/article_4457_70afbf2259b4449d8ae1429e054df1b1.pdf