A curve theory on sliced almost contact manifolds

Year 2022, Volume: 11 Issue: 1, 62 - 76, 30.04.2022

Mehmet Gümüş , Çetin Camcı

https://doi.org/10.54187/jnrs.1095343

Abstract

We have realized a gap between almost contact metric manifolds and contact metric manifolds in our studies. The examples that were given as Sasaki manifolds don't satisfy the condition of being contact metric manifold. As a result of our work, the sliced almost contact manifolds were formed and defined in \cite{MG}. In this paper we applied the theory of sliced almost contact manifolds to curves as a curve theory in three dimensional space. We define the $\pi-regular$ and $\pi-Legendre$ curves, also we give basic theorems on $\pi-Legendre$ curves and an example to $\pi-Legendre$ curves.

Keywords

Sliced almost contact manifolds, Sliced contact metric manifolds, π-Legendre curve

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