Surfaces of Finite III-type-Reference-Cited by-同舟云学术

Surfaces of Finite III-type

Published:2021-12-03 Issue: Volume:15 Page:190-194
ISSN:1998-0140
Container-title:International Journal of Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:

Author:

Al-Zoubi Hassan¹

Affiliation:

1. Al-Zaytoonah University of Jordan P.O. Box 130, 11733 Amman Jordan

Abstract

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.

Publisher

North Atlantic University Union (NAUN)

Subject

Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation

Reference19 articles.

1. H. Al-Zoubi, S. Stamatakis, Ruled and Quadric surfaces satisfying  III x = Ax, J. for Geom. and Graphics, 20 (2016), pp.147-157.

2. H. Al-Zoubi, S. Stamatakis, W. Al Mashaleh and M. Awadallah, Translation surfaces of coordinate finite type, Indian J. of Math. 59 (2017), pp. 227-241.

3. H. Al-Zoubi, Tubes of finite II-type in the Euclidean 3- space, WSEAS Trans. Math. 17 (2018), pp. 1-5.

4. H. Al-Zoubi, S. Al-Zubi, S. Stamatakis and H. Almimi, Ruled surfaces of finite Chen-type. J. Geom. and Graphics 22 (2018), pp. 15-20.

5. H. Al-Zoubi, K. M. Jaber, S. Stamatakis, Tubes of finite Chen-type, Commun. Korean Math. Soc. 33 (2018), pp. 581-590.

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1. Surfaces of Finite III-type in the Euclidean 3-Space;WSEAS TRANSACTIONS ON MATHEMATICS;2021-12-30