Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼 1 3

Areej A. Almoneef () and Rashad A. Abdel-Baky
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Areej A. Almoneef: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Rashad A. Abdel-Baky: Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt

Mathematics, 2023, vol. 11, issue 13, 1-13

Abstract: This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E 1 3 . 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.

Keywords: Frenet–Serret formulae; rectifying curve; helices (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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