Characterizations of spacelike slant helices in Minkowski 3-space
Yazarlar (5)
Gök
S. Kaya Nurkan
K. İlarslan
Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye
M. Altinok
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi Matematica | ||
| Dergi ISSN | 1221-8421 Dergi Bilgileri (2016) | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2016 |
| Cilt / Sayı / Sayfa | 62 / 0 / 221–240 | DOI | – |
| UAK Araştırma Alanları |
Geometri
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| Özet |
| In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E31 and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize for a spacelike curve to be a slant helix by using the Frenet apparatus of spherical indicatrix of the curve. Also related examples and their illustrations are given. Mathematics Subject Classification 2010: 53A04, 53C50. |
| Anahtar Kelimeler |
| Genaral helix | Minkowski 3-space | Principal normal indicatrix and binormal indicatrix | Slant helix | Spacelike curve | Spherical helix | Tangent indicatrix |