Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature

Rafael López; Esma Demir

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arXiv · 1006.2345

Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature

Rafael López·Esma Demir

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Abstract

In this work we find all helicoidal surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is $0$ or $1$ and that the surface is ruled. If the generating curve is a Lorentzian circle, we show that the only possibility is that the axis is spacelike and the center of the circle lies in the axis.

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BibTeX RIS

Rafael López, Esma Demir. 2010-06-14. Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature. https://arxiv.org/abs/1006.2345

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