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Research Article | Open Access

The geometrical properties of the Smarandache curves on 3-dimension pseudo-spheres generated by null curves

Huina Zhang, Yanping Zhao, Jianguo Sun( )
School of Science, China University of Petroleum (east China), Qingdao, 266555, China
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Abstract

In this paper, we presented the geometrical properties of Smarandache curves on 3-pseudo-spheres. These curves were examined in the context of the lightcone, de Sitter space, and anti-de Sitter space. By leveraging the curvature relationships between the null curve and its corresponding Smarandache curves, we established necessary and sufficient conditions. Additionally, we illustrated our main results through two examples.

Keywords

null curveSmarandache curveslant helixpseudo-spheres
CLC number: 35A53, 58C20

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 21703-21730
DOI: 10.3934/math.20241056

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Cite this article:
Zhang H, Zhao Y, Sun J. The geometrical properties of the Smarandache curves on 3-dimension pseudo-spheres generated by null curves. AIMS Mathematics, 2024, 9(8): 21703-21730. https://doi.org/10.3934/math.20241056

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Received: 28 March 2024
Revised: 21 June 2024
Accepted: 28 June 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)