Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492220210901Navigation problem and conformal vector fields199212445710.22060/ajmc.2021.20208.1057ENQiaolingXiaDepartment of Mathematics,
School of Sciences
Hangzhou Dianzi University
Hangzhou, Zhejiang Province, 310028, P.R.China0000-0002-6754-2870Journal Article20210626The 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_a143b817d7f14a913b22c9fd9183d28a.pdf