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

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

References

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