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On Finsler metrics with weakly isotropic $S$-curvature | ||
| AUT Journal of Mathematics and Computing | ||
| دوره 2، شماره 2، آذر 2021، صفحه 143-151 اصل مقاله (334.29 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2021.20129.1054 | ||
| نویسندگان | ||
| Esra Sengelen Sevim* 1؛ Mehran Gabrani2 | ||
| 1Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey | ||
| 2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran | ||
| 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 | ||
| مراجع | ||
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