Boletim da Sociedade Paranaense de Matemática (Oct 2020)
Involute-evolute d-curves in Minkowski 3-space E 3 1
Abstract
In this paper, we examine the notion of the involute-evolute curves for the curves lying the surfaces in Minkowski 3-space E3 1 . We call these new associated curves as involute-evolute and by using the Darboux frame of the curves. We give the representation formulae for spacelike curves in Minkowski 3-space E3 1 and using this formulae we give some characterizations of these curves. Besides, we find the relations between the normal curvatures, the geodesic curvatures and the geodesic torsions of these curves.