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Timelike Circular Surfaces and Singularities in Minkowski 3-Space.

Timelike Circular Surfaces and Singularities in Minkowski 3-Space.

Authors :
Li, Yanlin
Mofarreh, Fatemah
Abdel-Baky, Rashad A.
Source :
Symmetry (20738994). Sep2022, Vol. 14 Issue 9, p1914-N.PAG. 15p.
Publication Year :
2022

Abstract

The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. The timelike circular surface with a constant radius could be swept out by moving a Lorentzian circle with its center while following a non-lightlike curve called the spine curve. In the present study, we have parameterized timelike circular surfaces and examined their geometric properties, such as singularities and striction curves, corresponding with those of ruled surfaces. After that, a different kind of timelike circular surface was determined and named the timelike roller coaster surface. Meanwhile, we support the results of this work with some examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
14
Issue :
9
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
159357814
Full Text :
https://doi.org/10.3390/sym14091914