Constructions of Type III+ Helicoidal Surfaces in Minkowski Space with Desity

Abstract

In this paper, we construct a helicoidal surface of type III+ with prescribed weighted mean curvature and weighted Gaussian curvature in the Minkowski 3-space R-1(3) with a positive density function. We get a result for minimal case. Also we give examples of helicoidal surface with prescribed weighted mean curvature and Gaussian curvature.