Surfaces of coordinate finite type in the Lorentz-Minkowski 3-space
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 IIIx = Ax, where A is a square matrix of order 3 and 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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