A Note on Surfaces of Revolution Which Have Lightlike Axes of Revolution in Minkowski Space with Density

Abstract

In this paper, we study surfaces of revolution which have lightlike axes of revolution in Minkowski space with density. The generating curve of these surfaces satisfies a non-linear second order differential equation which describes the prescribed weighted Gaussian curvature. By solving differential equation, we get surfaces of revolution. Also, we draw a graph of the surface of revolution.