• Title of article

    Navigation problem and conformal vector fields

  • Author/Authors

    Xia, Qiaoling Department of Mathematics - School of Sciences - Hangzhou Dianzi University - Hangzhou - Zhejiang Province, P.R.China

  • Pages
    14
  • From page
    199
  • To page
    212
  • 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.
  • Keywords
    Finsler manifold , Navigation problem , Conformal vector field
  • Journal title
    AUT Journal of Mathematics and Computing
  • Serial Year
    2021
  • Record number

    2727538