فهرست نشریات علمی دسترسی آزاد ایران

This paper investigates a specific form of weighted Ricci curvature known as the quasi-Einstein metric. Two Finsler metrics, F and F˜ are considered, which are generated by navigation representations (h, W) and (F, V ), respectively, where W represents a vector field, and V represents a conformal vector field on the manifold M. The main focus is on identifying the necessary and sufficient condition for the Randers metric F to qualify as a quasi-Einstein metric. Additionally; we establish the relationship between the curvatures of the given Finsler metrics F and F˜.