On Finsler metrics with weakly isotropic $S$-curvature

نویسندگان
Gabrani, Mehran ID 1
Sengelen Sevim, Esra ID 2

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

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

doi
10.22060/ajmc.2021.20129.1054
چکیده

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.

کلیدواژه‌ها
Finsler metrics, General $(\alpha, \beta)$-metrics, $S$-curvature, Weak isotropic $S$-curvature