Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density

Yıldız, Önder Gökmen; Hızal, Selman; Akyiğit, Mahmut

doi:10.2478/auom-2018-0035

Abstract

In this paper, we construct a helicoidal surface of type I⁺ with prescribed weighted mean curvature and Gaussian curvature in the Minkowski 3−space $ℝ_{1}^{3}$ ${\Bbb R}_1^3$with a positive density function. We get a result for minimal case. Also, we give examples of a helicoidal surface with weighted mean curvature and Gaussian curvature.

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Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density

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