@article {
author = {Khamonezhad, Illatra and Rezaei, Bahman and Gabrani, Mehran},
title = {On Zermelo’s navigation problem and weighted Einstein Randers metrics},
journal = {AUT Journal of Mathematics and Computing},
volume = {},
number = {},
pages = {-},
year = {2024},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2024.22745.1189},
abstract = {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 $\tilde{F}$.},
keywords = {weighted Ricci curvature,navigation problem,conformal vector field},
url = {https://ajmc.aut.ac.ir/article_5403.html},
eprint = {}
}