On the L-duality of a Finsler space with special (α, β) metric
Publish place: Journal of Hyperstructures، Vol: 12، Issue: 1
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JHSMS-12-1_012
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
R. Miron initiated the study of L-duality in Lagrange and Finsler spaces in ۱۹۸۷. The concrete L-duals of the Randers metric, Kropina metric, Matsumoto metric, exponential metric, as well as a few more unique (α, β)-metrics, are really just an of the remarkable results obtained. The importance of L-duality, however, is basically limited to finding the dual of a few key Finsler functions.In this paper, we find L-dual of a Finsler space with a special (α, β)-metric F=\frac{(\alpha+\beta)^۳}{\alpha^۲}, where α is a Riemannian metric and β is a differential one form.
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Authors
Brijesh Kumar Tripathi
Department of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-۳۸۰۰۱۵, India.
Manoj Kumar Singh
Department of Mathematics, Government Engineering College-Dahod, Gujarat-۳۸۹۱۵۱, India.