Abstract: In this paper, we firstly investigate some relations regarding the first and the second Laplace operators corresponding to the third fundamental form III of a surface in the Euclidean space E3. Then, we introduce the finite Chen type surfaces of revolution with respect to the third fundamental form which Gauss curvature never vanishes.
Hassan Al-Zoubi, Farhan Abdel-Fattah, Mutaz Al-Sabbagh, "Surfaces of Finite III-type in the Euclidean 3-Space," WSEAS Transactions on Mathematics, vol. 20, pp. 729-735, 2021, DOI:10.37394/23206.2021.20.77
Hassan Al-Zoubi, Farhan Abdel-Fattah, Mutaz Al-Sabbagh. Surfaces of Finite III-type in the Euclidean 3-Space.
WSEAS Transactions on Mathematics. 2021;20:729-735. 10.37394/23206.2021.20.77