Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space
General Mathematics
2022-08-29 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2208.12578,
title = {Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space},
author = {Hassan Al-Zoubi and Alev Kelleci and Tareq Hamadneh},
journal= {arXiv preprint arXiv:2208.12578},
year = {2022}
}