Surfaces of Finite III-type in the Euclidean 3-Space-Reference-Cited by-同舟云学术

Surfaces of Finite III-type in the Euclidean 3-Space

Published:2021-12-30 Issue: Volume:20 Page:729-735
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Al-Zoubi Hassan¹,Abdel-Fattah Farhan²,Al-Sabbagh Mutaz³

Affiliation:

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

2. Department of Cyber Security, Al-Zaytoonah University of Jordan P.O. Box 130, Amman 11733, JORDAN

3. Department of Basic Engineering, Imam Abdulrahman bin Faisal University SAUDI ARAIBIA

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference24 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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