On spacelike rectifying slant helices in Minkowski 3-space
Yıl: 2018 Cilt: 42 Sayı: 3 Sayfa Aralığı: 1098 - 1110 Metin Dili: İngilizce DOI: 10.3906/mat-1705-109 İndeks Tarihi: 07-07-2020
On spacelike rectifying slant helices in Minkowski 3-space
Öz: In this paper, we study the position vector of a spacelike rectifying slant helix with non-lightlike principalnormal vector field in $E_1^3$ . First we find the general equations of the curvature and the torsion of spacelike rectifying slanthelices. After that, we construct second-order linear differential equations. By their solutions, we determine families ofspacelike rectifying slant helices that lie on cones.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Ali TA. Position vector of a spacelike slant helix in Minkowski 3-space. J Math Analysis App 2010; 364: 559-569.
- [2] Ali TA, Lopez R. Slant helices in Minkowski 3-space. J Korean Math Soc 2011; 48: 159-167.
- [3] Chen BY. When does the position vector of a space curve always lie in its rectifying plane?. Am Math Mon 2003; 110: 147-152.
- [4] Chen BY, Dillen F. Rectifying curves as centrodes and extremal curves. Bull Inst Math Aca Sinica 2005; 33: 77-90.
- [5] Ilarslan K, Nesovic E, Petrovic-Torgasev M. Some characterizations of rectifying curves in the Minkowski 3-space. Novi Sad J Math 2002; 33: 23-32.
- [6] Izumiya S, Takeuchi N. Generic properties of helices and Bertrand curves. J Geom 2002; 74: 97-109.
- [7] Izumiya S, Takeuchi N. New special curves and developable surfaces. Turk J Math 2004; 28: 153-163.
- [8] Kula L, Ekmekci N, Yaylı Y, Ilarslan K. Characterizations of slant helices in Euclidean 3-space. Turk J Math 2010; 34: 261-273.
- [9] Kula L, Yaylı Y. On slant helix and its spherical indicatrix. App Math Comp 2005; 169: 600-607.
- [10] O’Neill B. Elementary Differential Geometry. London, UK: Academic Press Inc, 2006.
| APA | KAHRAMAN AKSOYAK F, KULA L (2018). On spacelike rectifying slant helices in Minkowski 3-space. , 1098 - 1110. 10.3906/mat-1705-109 |
| Chicago | KAHRAMAN AKSOYAK Ferdağ,KULA Levent On spacelike rectifying slant helices in Minkowski 3-space. (2018): 1098 - 1110. 10.3906/mat-1705-109 |
| MLA | KAHRAMAN AKSOYAK Ferdağ,KULA Levent On spacelike rectifying slant helices in Minkowski 3-space. , 2018, ss.1098 - 1110. 10.3906/mat-1705-109 |
| AMA | KAHRAMAN AKSOYAK F,KULA L On spacelike rectifying slant helices in Minkowski 3-space. . 2018; 1098 - 1110. 10.3906/mat-1705-109 |
| Vancouver | KAHRAMAN AKSOYAK F,KULA L On spacelike rectifying slant helices in Minkowski 3-space. . 2018; 1098 - 1110. 10.3906/mat-1705-109 |
| IEEE | KAHRAMAN AKSOYAK F,KULA L "On spacelike rectifying slant helices in Minkowski 3-space." , ss.1098 - 1110, 2018. 10.3906/mat-1705-109 |
| ISNAD | KAHRAMAN AKSOYAK, Ferdağ - KULA, Levent. "On spacelike rectifying slant helices in Minkowski 3-space". (2018), 1098-1110. https://doi.org/10.3906/mat-1705-109 |
| APA | KAHRAMAN AKSOYAK F, KULA L (2018). On spacelike rectifying slant helices in Minkowski 3-space. Turkish Journal of Mathematics, 42(3), 1098 - 1110. 10.3906/mat-1705-109 |
| Chicago | KAHRAMAN AKSOYAK Ferdağ,KULA Levent On spacelike rectifying slant helices in Minkowski 3-space. Turkish Journal of Mathematics 42, no.3 (2018): 1098 - 1110. 10.3906/mat-1705-109 |
| MLA | KAHRAMAN AKSOYAK Ferdağ,KULA Levent On spacelike rectifying slant helices in Minkowski 3-space. Turkish Journal of Mathematics, vol.42, no.3, 2018, ss.1098 - 1110. 10.3906/mat-1705-109 |
| AMA | KAHRAMAN AKSOYAK F,KULA L On spacelike rectifying slant helices in Minkowski 3-space. Turkish Journal of Mathematics. 2018; 42(3): 1098 - 1110. 10.3906/mat-1705-109 |
| Vancouver | KAHRAMAN AKSOYAK F,KULA L On spacelike rectifying slant helices in Minkowski 3-space. Turkish Journal of Mathematics. 2018; 42(3): 1098 - 1110. 10.3906/mat-1705-109 |
| IEEE | KAHRAMAN AKSOYAK F,KULA L "On spacelike rectifying slant helices in Minkowski 3-space." Turkish Journal of Mathematics, 42, ss.1098 - 1110, 2018. 10.3906/mat-1705-109 |
| ISNAD | KAHRAMAN AKSOYAK, Ferdağ - KULA, Levent. "On spacelike rectifying slant helices in Minkowski 3-space". Turkish Journal of Mathematics 42/3 (2018), 1098-1110. https://doi.org/10.3906/mat-1705-109 |
