Some characterizations of pseudo null isophotic curves in Minkowski 3-space

Abstract

In this paper, we define and characterize pseudo null isophotic curves lying on a non-degenerate surface in Minkowski 3-space. We find the relation between Darboux frame’s Darboux vector (angular velocity vector, centrode) D¯ of such curves and Frenet frame’s Darboux vector D. We prove that D spans their axes if and only if it coincides with D¯. In particular, we show that the only pseudo null isophotic curves whose axes are spanned by D are pseudo null helices. Finally, we provide the related examples.