Open AccessSurfaces of Finite III-type
Author(s) -
Hassan Al-Zoubi
Publication year - 2021
Publication title -
international journal of mathematical models and methods in applied sciences
Language(s) - English
Resource type - Journals
ISSN - 1998-0140
DOI - 10.46300/9101.2021.15.26
Subject(s) - surface of revolution , gaussian curvature , type (biology) , constant mean curvature surface , surface (topology) , principal curvature , curvature , euclidean space , mean curvature , constant (computer programming) , mathematics , euclidean geometry , constant curvature , space (punctuation) , pure mathematics , minimal surface , mathematical analysis , geometry , center of curvature , computer science , ecology , operating system , biology , programming language
In this paper, we consider surfaces of revolution in the 3-dimensional Euclidean space E3 with nonvanishing Gauss curvature. We introduce the finite Chen type surfaces with respect to the third fundamental form of the surface. We present a special case of this family of surfaces of revolution in E3, namely, surfaces of revolution with R is constant, where R denotes the sum of the radii of the principal curvature of a surface.