Relatively normal-slant helices lying on a surface and their characterizations
Yıl: 2017 Cilt: 46 Sayı: 3 Sayfa Aralığı: 397 - 408 Metin Dili: İngilizce DOI: 10.15672 /HJMS.20164518615 İndeks Tarihi: 12-12-2018
Relatively normal-slant helices lying on a surface and their characterizations
Öz: In this paper, we consider a regular curve on an oriented surface inEuclidean 3-space with the Darboux frame {T, V, U} along the curve,where T is the unit tangent vector field of the curve, U is the surfacenormal restricted to the curve and V = U × T. We defne a new curveon a surface by using the Darboux frame. This new curve whose vectorfield V makes a constant angle with a fixed direction is called asrelatively normal-slant helix. We give some characterizations for suchcurves and obtain their axis. Besides we give some relations betweensome special curves (general helices, integral curves, etc.) and relativelynormal-slant helices. Moreover, when a regular surface is givenby its implicit or parametric equation, we introduce the method forgenerating the relatively normal-slant helix with the chosen directionand constant angle on the given surface.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | MACİT N, DÜLDÜL M (2017). Relatively normal-slant helices lying on a surface and their characterizations. , 397 - 408. 10.15672 /HJMS.20164518615 |
| Chicago | MACİT Nesibe,DÜLDÜL MUSTAFA Relatively normal-slant helices lying on a surface and their characterizations. (2017): 397 - 408. 10.15672 /HJMS.20164518615 |
| MLA | MACİT Nesibe,DÜLDÜL MUSTAFA Relatively normal-slant helices lying on a surface and their characterizations. , 2017, ss.397 - 408. 10.15672 /HJMS.20164518615 |
| AMA | MACİT N,DÜLDÜL M Relatively normal-slant helices lying on a surface and their characterizations. . 2017; 397 - 408. 10.15672 /HJMS.20164518615 |
| Vancouver | MACİT N,DÜLDÜL M Relatively normal-slant helices lying on a surface and their characterizations. . 2017; 397 - 408. 10.15672 /HJMS.20164518615 |
| IEEE | MACİT N,DÜLDÜL M "Relatively normal-slant helices lying on a surface and their characterizations." , ss.397 - 408, 2017. 10.15672 /HJMS.20164518615 |
| ISNAD | MACİT, Nesibe - DÜLDÜL, MUSTAFA. "Relatively normal-slant helices lying on a surface and their characterizations". (2017), 397-408. https://doi.org/10.15672 /HJMS.20164518615 |
| APA | MACİT N, DÜLDÜL M (2017). Relatively normal-slant helices lying on a surface and their characterizations. Hacettepe Journal of Mathematics and Statistics, 46(3), 397 - 408. 10.15672 /HJMS.20164518615 |
| Chicago | MACİT Nesibe,DÜLDÜL MUSTAFA Relatively normal-slant helices lying on a surface and their characterizations. Hacettepe Journal of Mathematics and Statistics 46, no.3 (2017): 397 - 408. 10.15672 /HJMS.20164518615 |
| MLA | MACİT Nesibe,DÜLDÜL MUSTAFA Relatively normal-slant helices lying on a surface and their characterizations. Hacettepe Journal of Mathematics and Statistics, vol.46, no.3, 2017, ss.397 - 408. 10.15672 /HJMS.20164518615 |
| AMA | MACİT N,DÜLDÜL M Relatively normal-slant helices lying on a surface and their characterizations. Hacettepe Journal of Mathematics and Statistics. 2017; 46(3): 397 - 408. 10.15672 /HJMS.20164518615 |
| Vancouver | MACİT N,DÜLDÜL M Relatively normal-slant helices lying on a surface and their characterizations. Hacettepe Journal of Mathematics and Statistics. 2017; 46(3): 397 - 408. 10.15672 /HJMS.20164518615 |
| IEEE | MACİT N,DÜLDÜL M "Relatively normal-slant helices lying on a surface and their characterizations." Hacettepe Journal of Mathematics and Statistics, 46, ss.397 - 408, 2017. 10.15672 /HJMS.20164518615 |
| ISNAD | MACİT, Nesibe - DÜLDÜL, MUSTAFA. "Relatively normal-slant helices lying on a surface and their characterizations". Hacettepe Journal of Mathematics and Statistics 46/3 (2017), 397-408. https://doi.org/10.15672 /HJMS.20164518615 |
