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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Areej A. Almoneef & Rashad A. Abdel-Baky, 2023. "Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼 1 3," Mathematics, MDPI, vol. 11(13), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2885-:d:1181054
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    References listed on IDEAS

    as
    1. İlarslan, Kazım & Boyacıoğlu, Özgür, 2008. "Position vectors of a timelike and a null helix in Minkowski 3-space," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1383-1389.
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