On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space

Abstract

In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In particular, we give some examples of lightlike developable surfaces with pseudo null base curve. As an application, we show that pseudo null curve and it's frame vectors generate new solutions of the Da Rios vortex filament equation.