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

Hasan Altınbaş

doi:10.53570/jnt.1401001

EN

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

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

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Hasan Altınbaş ^*
0000-0003-4209-743X
Türkiye

Early Pub Date

December 30, 2023

Publication Date

December 31, 2023

Submission Date

December 6, 2023

Acceptance Date

December 28, 2023

Published in Issue

Year 2023 Number: 45

DOI

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

IZ

https://izlik.org/JA49HD62TC

APA

Altınbaş, H. (2023). Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space. Journal of New Theory, 45, 120-130. https://doi.org/10.53570/jnt.1401001

AMA

1.Altınbaş H. Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space. JNT. 2023;(45):120-130. doi:10.53570/jnt.1401001

Chicago

Altınbaş, Hasan. 2023. “Spacelike Ac-Slant Curves With Non-Null Principal Normal in Minkowski 3-Space”. Journal of New Theory, nos. 45: 120-30. https://doi.org/10.53570/jnt.1401001.

EndNote

Altınbaş H (December 1, 2023) Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space. Journal of New Theory 45 120–130.

IEEE

[1]H. Altınbaş, “Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space”, JNT, no. 45, pp. 120–130, Dec. 2023, doi: 10.53570/jnt.1401001.

ISNAD

Altınbaş, Hasan. “Spacelike Ac-Slant Curves With Non-Null Principal Normal in Minkowski 3-Space”. Journal of New Theory. 45 (December 1, 2023): 120-130. https://doi.org/10.53570/jnt.1401001.

JAMA

1.Altınbaş H. Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space. JNT. 2023;:120–130.

MLA

Altınbaş, Hasan. “Spacelike Ac-Slant Curves With Non-Null Principal Normal in Minkowski 3-Space”. Journal of New Theory, no. 45, Dec. 2023, pp. 120-3, doi:10.53570/jnt.1401001.

Vancouver

1.Hasan Altınbaş. Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space. JNT. 2023 Dec. 1;(45):120-3. doi:10.53570/jnt.1401001

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Timelike acc-slant curves in Minkowski 3-space

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