@article{Alzaareer2025, 
author = {Hamza Alzaareer and Hassan Al-Zoubi and Farhan Abdel-Fattah},
title = {Certain classifications on quadrics in simply isotropic space              I              3},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {11},
pages = {26662-26679},
keywords = {surfaces in the simply isotropic 3-space, surfaces of finite Chen-type, Beltrami operator, quadric surfaces, ruled surfaces},
url = {https://www.sciopen.com/article/10.3934/math.20251172},
doi = {10.3934/math.20251172},
abstract = {In this paper, we deal with the natural geometry of quadric surfaces in the isotropic space              I              3      . We provided defining equations for the        3          r      d        ,      4          t      h       type ruled surfaces and        1          s      t        ,      2          n      d       type of quadric surfaces. In this paper, we investigated the finite Chen-type of ruled and quadric surfaces in the 3-dimensional simply isotropic space              I              3      , corresponding to the third fundamental form of the surface.}
}