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Characterization of k,m-Type Slant Helices Using the Modified Orthogonal Frame in Minkowski 3-Space

Author

Listed:
  • Md Ajmal Khan
  • Amit Kumar Rai
  • Foued Aloui
  • Majid Ali Choudhary
  • Ibrahim Al-Dayel

Abstract

Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame, proves invaluable. This study characterizes k-type slant helices with respect to the modified orthogonal frame in Minkowski 3-space. Furthermore, we establish a characterization of slant helices and identify k,m-type slant helices for the modified orthogonal frame in Minkowski 3-space, considering timelike, lightlike, and spacelike axes.

Suggested Citation

  • Md Ajmal Khan & Amit Kumar Rai & Foued Aloui & Majid Ali Choudhary & Ibrahim Al-Dayel, 2026. "Characterization of k,m-Type Slant Helices Using the Modified Orthogonal Frame in Minkowski 3-Space," Journal of Mathematics, Hindawi, vol. 2026, pages 1-12, October.
    • Handle: RePEc:hin:jjmath:8149875
    DOI: 10.1155/jom/8149875
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