Characterization of Tubular Surfaces in Terms of Finite III-type-Reference-Cited by-同舟云学术

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Characterization of Tubular Surfaces in Terms of Finite III-type

Published:2024-04-05 Issue: Volume:19 Page:22-26
ISSN:2224-2856
Container-title:WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
language:en
Short-container-title:

Author:

Al-Zoubi Hassan¹,Alzaareer Hamza¹,Al-Rawajbeh Mohammad²,Al-Kafaween Mohammad¹

Affiliation:

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

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

Abstract

In this paper, we first define relations regarding the first and the second Laplace operators corresponding to the third fundamental form III of a surface in the Euclidean space E 3 . Then, we will characterize the tubular surfaces in terms of their coordinate finite type.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference21 articles.

1. B.-Y. Chen, Some open problems and conjectures on submanifolds of finite type, Soochow J. Math, Vol. 17, 1991.

2. J. S. Ro, D. W. Yoon. Tubes of Weingarten types in Euclidean 3-space, J. Cungcheong Math. Soc. Vol. 22 (2009), 359-366.

3. H. Alzaareer, H. Al-Zoubi, F. Abed Al-Fattah, Quadrics with finite Chen-type Gauss map, Journal of Prime Research in Mathematics, Vol.18 No. 1, 2022, 96-107.

4. B.-Y. Chen, F. Dillen, Quadrics, of finite type, J. Geom. Vol. 38, 1990, 16-22.

5. D.-S. Kim, On the Gauss map of quadric hypersurfaces, J. Korean Math. Soc. 31 (1994), 429–437.

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