Projective Ricci curvature of Randers metrics of navigation data point of view

Document Type : Original Article


1 Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

2 Department of Mathematics, Faculty of Science, Urmia University Urmia, Iran.


The projective Ricci curvature is an important projective invariant in Finsler geometry. In this paper, we study and characterize projective Ricci flat isotropic S-curvature Randers metrics from a navigation data point of view and conclude that these metrics are weak Einsteinian.