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On generalized Berwald R-quadratic metrics | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 2، اسفند 2025، صفحه 306-314 اصل مقاله (1.62 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16423.1065 | ||
| نویسندگان | ||
| Mohammad Mtashar Alzuhairy1؛ Bahman Rezaei* 2؛ Akbar Tayebi3 | ||
| 1department of mathematics, urmia university | ||
| 2Department of mathematics, Urmia University, Urmia , Iran | ||
| 3department of mathematics, qom university | ||
| چکیده | ||
| Every Riemannian metric is R-quadratic, while many Finsler metrics have not this property. A Finsler metric is called R-quadratic if its Riemannian curvature is quadratic in all direction at any points of the underlying manifold. A Finsler metric on a manifold is called a generalized Berwald metric if there exists a covariant derivative such that the parallel translations induced by it preserve the Finsler function. In this paper, we study the class of generalized Berwald (α, β)-manifolds with R-quadratic properties and prove a rigidity result. We show that such manifolds satisfy S=0 if and only if B=0. | ||
| کلیدواژهها | ||
| Generalized Berwald manifold؛ locally dually flat metric؛ S-curvature | ||
| مراجع | ||
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