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

Md Ajmal Khan, Amit Kumar Rai, Foued Aloui, Majid Ali Choudhary and Ibrahim Al-Dayel

Journal of Mathematics, 2026, vol. 2026, 1-12

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8149875

DOI: 10.1155/jom/8149875

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