A curve theory on sliced almost contact manifolds

Mehmet GÜMÜŞ; Çetin CAMCI

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

Article Details

A curve theory on sliced almost contact manifolds

Authors:

Mehmet GÜMÜŞ | Çetin CAMCI

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Results in Science 2022 Vol.11 Issue 1, pp.62-76

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000489778

Frequency:

Tri-annual

pISSN:

1304-7981

DOI:

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 π−regularπ−regular\pi-regular and π−Legendreπ−Legendre\pi-Legendre curves, also we give basic theorems on π−Legendreπ−Legendre\pi-Legendre curves and an example to π−Legendreπ−Legendre\pi-Legendre curves.

Article Details

A curve theory on sliced almost contact manifolds

Authors: Mehmet GÜMÜŞ | Çetin CAMCI

Publisher: Tokat Gaziosmanpasa University

Main Topics: Mathematics

Journal: Journal of New Results in Science 2022 Vol.11 Issue 1, pp.62-76

Document Type: Article

Publication Date: 4/2022

Document Language: English

Document ID (Org No.): 2000489778

Frequency: Tri-annual

pISSN: 1304-7981

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

Issues

Authors:

Mehmet GÜMÜŞ | Çetin CAMCI

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Results in Science 2022 Vol.11 Issue 1, pp.62-76

Document Type:

Article

Publication Date:

4/2022

Document Language:

English

Document ID (Org No.):

2000489778

Frequency:

Tri-annual

pISSN:

1304-7981

DOI:

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