Open AccessSurfaces of Finite III-type in the Euclidean 3-Space
Author(s) -
Hassan Al-Zoubi,
Farhan Abdel-Fattah,
Mutaz Al-Sabbagh
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.77
Subject(s) - gaussian curvature , euclidean space , type (biology) , surface of revolution , mathematics , space (punctuation) , pure mathematics , euclidean geometry , curvature , mathematical analysis , surface (topology) , geometry , computer science , ecology , biology , operating system
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.