Frenet curves in 3-dimensional $ \delta $-Lorentzian trans Sasakian manifolds

Muslum Aykut Akgun; Muslum Aykut Akgun

doi:10.3934/math.2022012

AIMS Mathematics

2022, Volume 7, Issue 1: 199-211. doi: 10.3934/math.2022012

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Research article

Frenet curves in 3-dimensional $ \delta $-Lorentzian trans Sasakian manifolds

Muslum Aykut Akgun ^,

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

Received: 30 May 2021 Accepted: 24 September 2021 Published: 09 October 2021
MSC : 53A35, 53B30

In this paper, we give some characterizations of Frenet curves in 3-dimensional $ \delta $-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 $ \delta $-Lorentzian trans-Sasakian manifolds. Finally, we give some results for these curves.
- Frenet curves,
- Frenet elements,
- Lorentzian metric,
- almost contact metric manifold,
- $ \delta $-Lorentzian manifold
Citation: Muslum Aykut Akgun. Frenet curves in 3-dimensional $ \delta $-Lorentzian trans Sasakian manifolds[J]. AIMS Mathematics, 2022, 7(1): 199-211. doi: 10.3934/math.2022012

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Abstract

In this paper, we give some characterizations of Frenet curves in 3-dimensional $ \delta $-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 $ \delta $-Lorentzian trans-Sasakian manifolds. Finally, we give some results for these curves.

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