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

Year 2024, Volume: 42 Issue: 2, 566 - 571, 30.04.2024

Semail Ulgen

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

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