Some characterizations of timelike rectifying curves in de sitter 3-space

Abstract

De Sitter space is a non-flat Lorentzian space form with positive constant curvature whichplays an important role in the theory of relativity. In this paper, we define the notions oftimelike rectifying curve and timelike conical surface in De Sitter 3-space as Lorentzianviewpoint. Moreover, we give some nice characterizations and results of a timelike rectifyingcurves with respect to curve-hypersurface frame in De Sitter 3-space which is a threedimensional pseudo-sphere in Minkowski 4-space.