Characterizations of timelike slant helices in Minkowski 3-space
Abstract
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 and
their illustrations are given.
Keywords
Minkowski $3$-space, timelike curve, slant helix, general helix, spherical helix, tangent indicatrix, principal normal indicatrix and binormal indicatrix.
Supplementary File(s)
Characterizations of timelike slant helices in Minkowski 3-space Characterizations of timelike slant helices in Minkowski 3-space Characterizations of timelike slant helices in Minkowski 3-space LaTeX sourceAuthor Biography
Levent Kula
Department of Mathematics, Prof. Dr.
Mesut Altinok
Department of Mathematics, Phd student