A new non-Riemannian curvature related to the class of (α, β)-metrics

Document Type : Original Article

Authors

1 Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab 5551395133, Iran. haji.badali@ubonab.ac.ir

2 Department of Mathematics, Basic Sciences Faculty University of Bonab, Bonab 5551395133, Iran. majidi.majidi.2020@gmail.com

Abstract

In this paper, we find a new non-Riemannian quantity for (α, β)-metrics that is closely related to the S-curvature. We call it the S˜-curvature. Then, we show that an (α, β)-metric is Riemannian if and only if S˜=0. For a Randers metric, we find the relation between S-curvature and S∼-curvature.

Keywords

Journal of Finsler Geometry and its Applications
Volume 2, Issue 2
December 2021
Pages 43-53

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