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The Complete Classification of Quarter-Symmetric Magnetic Curves in S-manifolds | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 1 - شماره پیاپی 24، فروردین 2023، صفحه 151-160 اصل مقاله (474.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19400.1244 | ||
| نویسنده | ||
| Saban Guvenc* | ||
| Department of Mathematics, Balikesir University, Turkey | ||
| چکیده | ||
| In this paper, we consider $S$-manifolds endowed with a quarter-symmetric metric connection. We obtain the condition for a curve to be magnetic with respect to this connection. We show that quarter-symmetric magnetic curves are $\theta _{\alpha }-$slant curves of osculating order $r\leq 3$ with constant quarter-symmetric curvature functions. Finally, we give the classification theorem. | ||
| کلیدواژه‌ها | ||
| Magnetic curve؛ $theta _{alpha }-$slant curve؛ $S$-manifold؛ Quarter-symmetric metric connection | ||
| مراجع | ||
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