On the Timelike Circular Surface and Singularities in Minkowski 3-Space-Reference-Cited by-同舟云学术

On the Timelike Circular Surface and Singularities in Minkowski 3-Space

Published:2023-10-19 Issue:10 Volume:12 Page:989
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

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

In this paper, we have parameterized a timelike (Tlike) circular surface (CIsurface) and have obtained its geometric properties, including striction curves, singularities, Gaussian and mean curvatures. Afterward, the situation for a Tlike roller coaster surface (RCOsurface) to be a flat or minimal surface is examined in detail. Further, we illustrate the approach’s outcomes with a number of pertinent examples.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/989/pdf

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