@article{Al-Sabbagh2025, 
author = {Mutaz Al-Sabbagh},
title = {Surfaces of coordinate finite    I  I-type},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {6258-6269},
keywords = {surfaces in E3, surfaces of revolution, surfaces of coordinate finite type, Beltrami operator},
url = {https://www.sciopen.com/article/10.3934/math.2025285},
doi = {10.3934/math.2025285},
abstract = {We study the class of surfaces of revolution in the 3-dimensional Euclidean space        E          3       with nonvanishing Gauss curvature whose position vector    x satisfies the condition        Δ          I      I        x  =  A  x, where    A is a square matrix of order 3 and        Δ          I      I       denotes the Laplace operator of the second fundamental form    I  I of the surface. We show that a surface of revolution satisfying the preceding relation is a catenoid or part of a sphere.}
}