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Research Article | Open Access

Frenet curves in 3-dimensional δ-Lorentzian trans Sasakian manifolds

Department of Mathematics, Technical Sciences Vocational School, Adiyaman University, Turkey
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Abstract

In this paper, we give some characterizations of Frenet curves in 3-dimensional δ-Lorentzian trans-Sasakian manifolds. We compute the Frenet equations and Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional δ-Lorentzian trans-Sasakian manifolds. Finally, we give some results for these curves.

Keywords

Frenet curvesFrenet elementsLorentzian metricalmost contact metric manifoldδ-Lorentzian manifold
CLC number: 53A35, 53B30

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 199-211
DOI: 10.3934/math.2022012

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Cite this article:
Akgun MA. Frenet curves in 3-dimensional δ-Lorentzian trans Sasakian manifolds. AIMS Mathematics, 2022, 7(1): 199-211. https://doi.org/10.3934/math.2022012

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Received: 30 May 2021
Accepted: 24 September 2021
Published: 15 January 2022
©2022 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)