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