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Some characterizations for Legendre curves in the 3-Dimensional Sasakian space | ||
| Iranian Journal of Science | ||
| مقاله 10، دوره 39، شماره 4، اسفند 2015، صفحه 533-541 اصل مقاله (504.68 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3413 | ||
| نویسندگان | ||
| H. Kocayigit* ؛ M. Onder | ||
| Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University, Muradiye Campus, Muradiye, Manisa 45140, Turkey | ||
| چکیده | ||
| In this paper, we give some characterizations for Legendre spherical, Legendre normal and Legendre rectifying curves in the 3-dimensional Sasakian space. Furthermore, we show that Legendre spherical curves are also Legendre normal curves. In particular, we prove that the inverse of curvature of a Legendre rectifying curve is a non-constant linear function of the arclength parameter. | ||
| کلیدواژهها | ||
| Legendre curve؛ normal curve؛ rectifying curve؛ Sasakian space | ||
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