Some curves on 3-dimensional Normal Almost Contact Pseudo-metric Manifolds

Year 2022, Volume: 7 Issue: 3, 168 - 176, 30.12.2022

Müslüm Aykut Akgün

Abstract

In this study, we characterize Frenet curves in 3-dimensional normal almost contact pseudo-metric
manifolds. We give Frenet equations and the Frenet elements of these curves. Also, we give
the curvatures of non-geodesic Frenet curves on 3-dimensional almost contact pseudo-metric manifolds.
Finally we give some corollaries and examples about these curves.

Keywords

Contact pseudo-metric manifols,, Frenet curve,, Frenet elements

References

• [1] J. T. Cho, J. Ioguchi and Ji-Eun Lee, On Slant Curves in Sasakian 3-Manifolds, Bulletin of Australian Mahematical Society, Volume 74 (2006), 359–367.
• [2] G. Calvaruso, Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds, Geom. Dedicata, Volume 127 (2007), 99–119.
• [3] G. Calvaruso and D. Perrone , Contact pseudo-metric manifolds, Differential Geometry and its Applications, Volume 28 (2010), 615–634.