Singularities for Timelike Developable Surfaces in Minkowski 3-Space

Yanlin Li; Zhizhi Chen; Sahar H. Nazra; Rashad A. Abdel-Baky

doi:10.3390/sym15020277

Symmetry (Jan 2023)

Singularities for Timelike Developable Surfaces in Minkowski 3-Space

Yanlin Li,
Zhizhi Chen,
Sahar H. Nazra,
Rashad A. Abdel-Baky

Affiliations

Yanlin Li: School of Mathematics, Hangzhou Normal University, Hangzhou 311120, China
Zhizhi Chen: School of Statistics, Jilin University of Finance and Economics, Changchun 130117, China
Sahar H. Nazra: Department of Mathematical Sciences, College of Applied Sciences, Umm Al-Qura University, Mecca 24382, Saudi Arabia
Rashad A. Abdel-Baky: Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt

DOI: https://doi.org/10.3390/sym15020277
Journal volume & issue: Vol. 15, no. 2
p. 277

Abstract

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In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage of the singularity theory, we give the classification of generic singularities of these developable surfaces. Furthermore, an example of application is given to illustrate the applications of the results.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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