Singularities for Timelike Developable Surfaces in Minkowski 3-Space

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 a...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 15; no. 2; p. 277
Main Authors Li, Yanlin, Chen, Zhizhi, Nazra, Sahar H., Abdel-Baky, Rashad A.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2023
Subjects
developable surfaces
Minkowski space
Singularities
Spheres
timelike developable surfaces
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15020277