Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space

Year 2023, Issue: 45, 120 - 130, 31.12.2023

Hasan Altınbaş

https://doi.org/10.53570/jnt.1401001

Abstract

In this paper, we define a spacelike ac-slant curve whose scalar product of its acceleration vector and a unit non-null fixed direction is a constant in Minkowski 3-space. Furthermore, we give a characterization depending on the curvatures of the spacelike ac-slant curve. After that, we get the relationship between a spacelike ac-slant curve and several distinct types of curves, such as spacelike Lorentzian spherical curves, spacelike helices, spacelike slant helices, and spacelike Salkowski curves, enhancing our understanding of its geometric properties in Minkowski 3-space. Finally, we used Mathematica, a symbolic computation software, to support the notions of an ac-slant curve with attractive images.

Keywords

Acceleration, helices, slant helices, Minkowski 3-spaces

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