Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼13-Reference-Cited by-同舟云学术

Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼13

Published:2023-06-27 Issue:13 Volume:11 Page:2885
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

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

This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves. Additionally, we proved that the tangential function of every non-null curve fulfills a third-order differential equation. Then, a number of well-known characteristic properties of rectifying, Lorentzian, and hyperbolic spherical curves are consequences of this differential equation.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/13/2885/pdf

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