A curve theory on sliced almost contact manifolds

Authors : Mehmet GÜMÜŞ, Çetin CAMCI

Pages : 62-76

Doi:10.54187/jnrs.1095343

View : 18 | Download : 17

Publication Date : 2022-04-30

Article Type : Research Paper

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