On a non-riemannian quantity of (α,β)-metrics

ÜLGEN, Semail

doi:10.14744/sigma.2023.00127

On a non-riemannian quantity of (α,β)-metrics

Semail ÜLGEN ¹

¹Department of Industrial Engineering, Antalya Bilim University, Antalya, 07190, Türkiye

Sigma J Eng Nat Sci 2024; 42(2): 566-571 DOI: 10.14744/sigma.2023.00127

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Abstract

In this paper, we study a non-Riemannian quantity χ-curvature of (α, β)-metrics, a special class of Finsler metrics with Riemannian metric α and a 1-form β . We prove that every (α, β)-metric has a vanishing χ-curvature under certain conditions.

Keywords: (α,β)- Finsler Metric; Vanishing χ-Curvature; Non-Riemannian Quantity