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On Zermelo’s navigation problem and weighted Einstein Randers metrics | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 7، دوره 6، شماره 3، 2025، صفحه 269-277 اصل مقاله (369.08 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22745.1189 | ||
| نویسندگان | ||
| Illatra Khamonezhad؛ Bahman Rezaei* ؛ Mehran Gabrani | ||
| Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran | ||
| چکیده | ||
| 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˜. | ||
| کلیدواژهها | ||
| Weighted Ricci curvature؛ Navigation problem؛ Conformal vector field | ||
| مراجع | ||
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