Type I+ Helicoidal Surfaces with Prescribed Weighted Mean or Gaussian Curvature in Minkowski Space with Density
Yıldız Önder Gökmen, Hızal Selman, Akyiğit Mahmut
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica · 2018
doi:10.2478/auom-2018-0035 (opens in a new tab)
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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.
Abstract licence: CC BY-NC-ND
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