This paper investigates a specific form of weighted Ricci curvature known as the quasi-Einstein metric. Two Finsler metrics, $F$ and $\tilde{F}$ 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 $\tilde{F}$.
Rezaei, B., Khamonezhad, I., & Gabrani, M. (2024). On Zermelo’s navigation problem and weighted Einstein Randers metrics. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2024.22745.1189
MLA
Bahman Rezaei; Illatra Khamonezhad; Mehran Gabrani. "On Zermelo’s navigation problem and weighted Einstein Randers metrics". AUT Journal of Mathematics and Computing, , , 2024, -. doi: 10.22060/ajmc.2024.22745.1189
HARVARD
Rezaei, B., Khamonezhad, I., Gabrani, M. (2024). 'On Zermelo’s navigation problem and weighted Einstein Randers metrics', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2024.22745.1189
VANCOUVER
Rezaei, B., Khamonezhad, I., Gabrani, M. On Zermelo’s navigation problem and weighted Einstein Randers metrics. AUT Journal of Mathematics and Computing, 2024; (): -. doi: 10.22060/ajmc.2024.22745.1189
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