Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492220210901On Finsler metrics with weakly isotropic $S$-curvature143151446010.22060/ajmc.2021.20129.1054ENEsraSengelen SevimDepartment of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali
Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, TurkeyMehranGabraniDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran0000-0002-4489-0477Journal Article20210606In 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.https://ajmc.aut.ac.ir/article_4460_448261fee675bbb6a2343ca58d666440.pdf