On Finsler metrics with weakly isotropic S-curvature

Document Type : Original Article

Authors

1 Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

Abstract

In this paper‎, ‎we focus on a class of Finsler metrics which are called general~$(alpha,beta)$-metrics‎: ‎$alpha= sqrt{a_{ij}(x)y^{i}y^{j}}$ is a Riemannian metric and $beta= b_{i}(x)y^{i}$ is a $1$-form. We examine the metrics as weakly isotropic $S$-curvature‎.

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