Singularity Properties of Spacelike Circular Surfaces-Reference-Cited by-同舟云学术

Singularity Properties of Spacelike Circular Surfaces

Published:2023-04-01 Issue:4 Volume:15 Page:842
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Almoneef Areej A.¹^ORCID,Abdel-Baky Rashad A.²

Affiliation:

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

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.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/4/842/pdf

Reference19 articles.

1. Bruce, J.W., and Giblin, P.J. (1992). Curves and Singularities, Cambridge University Press. [2nd ed.].

2. Singularities of ruled surfaces in E3;Izumiya;Math. Proc. Camb. Philos. Soc.,2001

3. Special curves and ruled surfaces;Izumiya;Cotributions Algebra Geom.,2003