Rulings on the Surfaces Having Null Axis and Null Profile Curve in Lorentz-Minkowski 3-Space

Abstract

We define the curves family of the surfaces with null profile curve and null axis, and give some smooth functions in three dimensional Lorentz-Minkowski space $\mathbb{L}^{3}$. In addition, we compute the third Laplace-Beltrami operator of this type surfaces.