%0 Journal Article %T Navigation problem and conformal vector fields %J AUT Journal of Mathematics and Computing %I Amirkabir University of Technology %Z 2783-2449 %A Xia, Qiaoling %D 2021 %\ 09/01/2021 %V 2 %N 2 %P 199-212 %! Navigation problem and conformal vector fields %K Finsler manifold %K navigation problem %K conformal vector field %R 10.22060/ajmc.2021.20208.1057 %X 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.  %U https://ajmc.aut.ac.ir/article_4457_a143b817d7f14a913b22c9fd9183d28a.pdf