University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 14 1 2025 06 01 Intrinsic Properties of Finsler Space with a cubic change in Infinite Series Metric 141 150 3710 10.22098/jhs.2025.16016.1053 EN Maphisha Nongsiej Department of Mathematics, North Eastern Hill University Krishnamoni Medhi Department of Mathematics, North-Eastern Hill University, Shillong Vinit Kumar Chaubey Department of Mathematics, North-Eastern Hill University, Shillong Journal Article 2024 10 15 In this paper, we investigate a Finsler space characterized by a cubic changed infinite series metric given by F(γ, β)=β<sup>2</sup>/(β-γ_. We derive the fundamental tensors necessary to describe the geometric properties of this Finsler space. Additionally, we determine the conditions under which this Finsler space with the cubic modified infinite series metric can be simplified into special types of Finsler spaces, including quasi-C-reducible, semi-C-reducible, C-reducible, and C2-like Finsler spaces, based on its various forms of the Cartan tensor. cubic metric infinite series metric Cartan tensor 1-form metric C-reducible https://jhs.uma.ac.ir/article_3710_09fa94523bbe5918b3388a1afb83103d.pdf