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

Year 2019, Volume: 12 Issue: 1, 20 - 25, 27.03.2019

Önder Gökmen Yıldız , Mahmut Akyiğit

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^3_1 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.

Keywords

Minkowski space, manifold with density, weighted curvature, helicoidal

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