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arXiv · 2208.12578

Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space

Hassan Al-Zoubi·Alev Kelleci·Tareq Hamadneh
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Abstract

In this article, we study the class of surfaces of revolution in the 3-dimensional Lorentz-Minkowski space with nonvanishing Gauss curvature whose position vector x satisfies the condition {\Delta}IIIx = Ax, where A is a square matrix of order 3 and {\Delta}III denotes the Laplace operator of the second fundamental form III of the surface. We show that such surfaces are either minimal or pseudospheres of a real or imaginary radius.

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Hassan Al-Zoubi, Alev Kelleci, Tareq Hamadneh. 2022-07-06. Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space. https://arxiv.org/abs/2208.12578

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