Gabrani, MehranRezaei, BahmanSevim, Esra Sengelen2024-07-182024-07-1820240926-22451872-6984https://doi.org/10.1016/j.difgeo.2023.102105https://hdl.handle.net/11411/7320The class of warped product metrics can often be interpreted as key space models for general theory of relativity and in the theory of space-time structure. In this paper, we study one of the most important non -Riemannian quantities in Finsler geometry which is called the S -curvature. We examined the behavior of the S -curvature in the Finsler warped product metrics. We are going to prove that every Finsler warped product metric R x Rn has almost isotropic S -curvature if and only if it is a weakly Berwald metric. Moreover, we show that every Finsler warped product metric has isotropic S -curvature if and only if S -curvature vanishes. (c) 2023 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFinsler Warped Product ManifoldS-CurvatureWeakly Berwald ManifoldsArticle2-s2.0-8518352177610.1016/j.difgeo.2023.102105Q293N/AWOS:001170703800001