Characterizations of timelike slant helices in Minkowski 3-space
Gök, İsmail ; Nurkan, Semra Kaya ; İlarslan, Kazim ; Kula, Levent ; Altinok, Mesut
Mathematical Communications, Tome 19 (2014) no. 1, p. 119-138 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski $3$-space $\mathbb{E}_{1}^{3}$ and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenetapparatus of a spherical indicatrix of the curve. Also, related examples andtheir illustrations are given.
Publié le : 2014-06-10
Classification:  Minkowski $3$-space; timelike curve; slant helix; general helix; spherical helix; tangent indicatrix; principal normal indicatrix and binormal indicatrix.,  53C40, 53C50 
@article{mc310,
     author = {G\"ok, \.Ismail and Nurkan, Semra Kaya and \.Ilarslan, Kazim and Kula, Levent and Altinok, Mesut},
     title = {Characterizations of timelike slant helices in Minkowski 3-space},
     journal = {Mathematical Communications},
     volume = {19},
     number = {1},
     year = {2014},
     pages = { 119-138},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc310}
}

Gök, İsmail; Nurkan, Semra Kaya; İlarslan, Kazim; Kula, Levent; Altinok, Mesut. Characterizations of timelike slant helices in Minkowski 3-space. Mathematical Communications, Tome 19 (2014) no. 1, pp.  119-138. http://gdmltest.u-ga.fr/item/mc310/