TY - JOUR
ID - 5403
TI - On Zermelo’s navigation problem and weighted Einstein Randers metrics
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Khamonezhad, Illatra
AU - Rezaei, Bahman
AU - Gabrani, Mehran
AD - Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
Y1 - 2024
PY - 2024
VL -
IS -
SP -
EP -
KW - weighted Ricci curvature
KW - navigation problem
KW - conformal vector field
DO - 10.22060/ajmc.2024.22745.1189
N2 - 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 $\tilde{F}$.
UR - https://ajmc.aut.ac.ir/article_5403.html
L1 -
ER -