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Intrinsic Properties of Finsler Space with a cubic change in Infinite Series Metric | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 اسفند 1403 اصل مقاله (1.63 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16016.1053 | ||
| نویسندگان | ||
| Vinit Kumar Chaubey* 1؛ Maphisha Nongsiej2؛ Krishnamoni Medhi1 | ||
| 1Department of Mathematics, North-Eastern Hill University, Shillong | ||
| 2Department of Mathematics, North Eastern Hill University | ||
| چکیده | ||
| In this paper, we investigate a Finsler space characterized by a cubic changed infinite series metric given by F(γ, β)=β2/(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. | ||
| کلیدواژه‌ها | ||
| cubic metric؛ Infinite series metric؛ Cartan tensor؛ 1-form metric؛ C-reducible | ||
| مراجع | ||
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