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Symmetry
Volume 15
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10.3390/sym15040842
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Article

Singularity Properties of Spacelike Circular Surfaces

by
Areej A. Almoneef
1,* and
Rashad A. Abdel-Baky
2
1
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2
Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt
*
Author to whom correspondence should be addressed.
Symmetry 2023, 15(4), 842; https://doi.org/10.3390/sym15040842
Submission received: 4 March 2023 / Revised: 29 March 2023 / Accepted: 29 March 2023 / Published: 1 April 2023
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Abstract

The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A spacelike circular surface with a stationary radius can be swept out by movable a Lorentzian circle following a non-null curve, which acts as the spine curve. In the study, we have represented spacelike circular surface and have furnished its geometric properties such as singularities and striction curves contrasting with those of ruled surfaces. Subsequently, a new type of spacelike circular surface was distinguished and named as the spacelike roller coaster surface. Meanwhile, we support the outcomes of the work by some examples.
Keywords: striction curve; singularity; roller coaster surface striction curve; singularity; roller coaster surface

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MDPI and ACS Style

Almoneef, A.A.; Abdel-Baky, R.A. Singularity Properties of Spacelike Circular Surfaces. Symmetry 2023, 15, 842. https://doi.org/10.3390/sym15040842

AMA Style

Almoneef AA, Abdel-Baky RA. Singularity Properties of Spacelike Circular Surfaces. Symmetry. 2023; 15(4):842. https://doi.org/10.3390/sym15040842

Chicago/Turabian Style

Almoneef, Areej A., and Rashad A. Abdel-Baky. 2023. "Singularity Properties of Spacelike Circular Surfaces" Symmetry 15, no. 4: 842. https://doi.org/10.3390/sym15040842

APA Style

Almoneef, A. A., & Abdel-Baky, R. A. (2023). Singularity Properties of Spacelike Circular Surfaces. Symmetry, 15(4), 842. https://doi.org/10.3390/sym15040842

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