On Timelike Rectifying Slant Helices in Minkowski 3-Space
Yıl: 2018 Cilt: 11 Sayı: 1 Sayfa Aralığı: 17 - 25 Metin Dili: İngilizce İndeks Tarihi: 31-07-2019
On Timelike Rectifying Slant Helices in Minkowski 3-Space
Öz: In this work, we study timelike rectifying slant helices in E 1 3 . First, we find general equations ofthe curvature and the torsion of timelike rectifying slant helices. After that, by solving secondorder linear differential equations, we obtain families of timelike rectifying slant helices that lieon cones.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Ali, T.A., Position vector of a timelike slant helix in Minkowski 3-space. Journal of the Mathematical Analysis and Applications. 365 (2010), no. 2, 559-569.
- Ali, T.A. and Lopez, R., Slant helices in Minkowski 3-space. Journal of Korean Math. Soc. 40 (2011), no. 1, 159-167.
- Altunkaya, B. and Kula, L., On rectifying slant helices in Euclidean 3-space. Konuralp J. Math. 4 (2016), no. 2, 17-24.
- Altunkaya, B. and Kula, L., On spacelike rectifying slant helices in in Minkowski 3-space. Turk. Journal Math. (accepted).
- Chen B.Y., When does the position vector of a space curve always lie in its rectifying plane? Amer. Math. Monthly. 110 (2003), 147-152.
- Chen B.Y. and Dillen, F., Rectifying curves as centrodes and extremal curves. Bull. Inst. Math. Academia Sinica. 33 (2005), no. 2, 77-90.
- Ilarslan K, Nešović E, Petrović-Torgašev M Some Characterizations of Rectifying Curves in the Minkowski 3-space. Novi Sad. Journal Math. 33(2002), no. 2, 23-32.
- Izumiya, S. and Takeuchi, N., New special curves and developable surfaces. Turk. Journal Math. 28(2004), 153-163.
- Izumiya, S. and Takeuchi, N., Generic properties of helices and Bertrand curves. Journal of Geometry. 74 (2002), no. 1, 97-109.
- Kula, L. and Yayli, Y., On slant helix and its spherical indicatrix. Applied Mathematics and Computation. 169 (2005), 600-607.
- Kula, L., Ekmekci, N., Yayli, Y. and Ilarslan, K., Characterizations of slant helices in Euclidean 3-space. Turk. Journal Math. 34 (2010), no. 2, 261-273.
- O’Neill, B., Elementary Differential Geometry. Academic Press, New York, 2010.
- Struik, D.J., Lectures on Classical Differential Geometry. Dover Publications, New York, 1961.
APA | ALTUNKAYA B, KULA L (2018). On Timelike Rectifying Slant Helices in Minkowski 3-Space. , 17 - 25. |
Chicago | ALTUNKAYA BÜLENT,KULA Levent On Timelike Rectifying Slant Helices in Minkowski 3-Space. (2018): 17 - 25. |
MLA | ALTUNKAYA BÜLENT,KULA Levent On Timelike Rectifying Slant Helices in Minkowski 3-Space. , 2018, ss.17 - 25. |
AMA | ALTUNKAYA B,KULA L On Timelike Rectifying Slant Helices in Minkowski 3-Space. . 2018; 17 - 25. |
Vancouver | ALTUNKAYA B,KULA L On Timelike Rectifying Slant Helices in Minkowski 3-Space. . 2018; 17 - 25. |
IEEE | ALTUNKAYA B,KULA L "On Timelike Rectifying Slant Helices in Minkowski 3-Space." , ss.17 - 25, 2018. |
ISNAD | ALTUNKAYA, BÜLENT - KULA, Levent. "On Timelike Rectifying Slant Helices in Minkowski 3-Space". (2018), 17-25. |
APA | ALTUNKAYA B, KULA L (2018). On Timelike Rectifying Slant Helices in Minkowski 3-Space. International Electronic Journal of Geometry, 11(1), 17 - 25. |
Chicago | ALTUNKAYA BÜLENT,KULA Levent On Timelike Rectifying Slant Helices in Minkowski 3-Space. International Electronic Journal of Geometry 11, no.1 (2018): 17 - 25. |
MLA | ALTUNKAYA BÜLENT,KULA Levent On Timelike Rectifying Slant Helices in Minkowski 3-Space. International Electronic Journal of Geometry, vol.11, no.1, 2018, ss.17 - 25. |
AMA | ALTUNKAYA B,KULA L On Timelike Rectifying Slant Helices in Minkowski 3-Space. International Electronic Journal of Geometry. 2018; 11(1): 17 - 25. |
Vancouver | ALTUNKAYA B,KULA L On Timelike Rectifying Slant Helices in Minkowski 3-Space. International Electronic Journal of Geometry. 2018; 11(1): 17 - 25. |
IEEE | ALTUNKAYA B,KULA L "On Timelike Rectifying Slant Helices in Minkowski 3-Space." International Electronic Journal of Geometry, 11, ss.17 - 25, 2018. |
ISNAD | ALTUNKAYA, BÜLENT - KULA, Levent. "On Timelike Rectifying Slant Helices in Minkowski 3-Space". International Electronic Journal of Geometry 11/1 (2018), 17-25. |