University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 7 1 2026 05 01 On generalized silver Finsler metrics 103 122 4237 10.22098/jfga.2025.17873.1170 EN Salah Gomaa Elgendi Department of Mathematics, College of Science, Jouf University, Skaka, KSA 0000-0002-5808-6092 Amr Soleiman Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, KSA Journal Article 2025 07 18 In this paper, we present a coordinate-free investigation of the generalized silver Finsler metric. Specifically, for a Finsler manifold (M, L)$and a 1-form B, we study various geometric structures associated with the Finsler metric L^∼= L ∅(s), where ∅(s):= s² - 2s - 1.The function ∅(s) has roots s₁ = 1 - √2 and s₂ = 1 +√2, where the positive root represents the so-called the silver ratio. Assuming that L is a Finsler metric, we refer to L^∼ as the generalized silver Finsler metric. We derive the associated metric and Cartan tensors, along with other fundamental geometric objects. The non-degeneracy condition of the metric tensor of L^∼ is characterized. We compute the geodesic spray, Barthel connection, and Berwald connection of L^∼, when the 1-form B arises from a concurrent π-vector field. Furthermore, we determine the curvature of the Barthel connection associated with L^∼. An illustrative example is also provided. https://jfga.uma.ac.ir/article_4237_ee74a8bccdd1905599ec8bc16c3f907a.pdf