On some classes of 333-dimensional generalized (κ,μ)(κ,μ) (\kappa ,\mu )-contact metric manifolds

Ahmet YILDIZ; Uday Chand DE; Azime ÇETİNKAYA

Article Details

On some classes of 333-dimensional generalized (κ,μ)(κ,μ) (\kappa ,\mu )-contact metric manifolds

Authors:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.356-368

Document Type:

Article

Publication Date:

8/2015

Document Language:

Turkish

Document ID (Org No.):

2000747179

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

The object of the present paper is to obtain a necessary and sufficient  condition for a 333-dimensional generalized (κ,μ)(κ,μ)(\kappa ,\mu )-contact metric  manifold to be locally ϕϕ\phi -symmetric in the sense of Takahashi and the  condition is verified by an example. Next we characterize a 333-dimensional  generalized (κ,μ)(κ,μ)(\kappa ,\mu )-contact metric manifold satisfying certain  curvature conditions on the concircular curvature tensor. Finally, we  construct an example of a generalized (κ,μ)(κ,μ)(\kappa,\mu)-contact metric manifold  to verify Theorem 111 of our paper.

 

The object of the present paper is to obtain a necessary and sufficient  condition for a 333-dimensional generalized (κ,μ)(κ,μ)(\kappa ,\mu )-contact metric  manifold to be locally ϕϕ\phi -symmetric in the sense of Takahashi and the  condition is verified by an example. Next we characterize a 333-dimensional  generalized (κ,μ)(κ,μ)(\kappa ,\mu )-contact metric manifold satisfying certain  curvature conditions on the concircular curvature tensor. Finally, we  construct an example of a generalized (κ,μ)(κ,μ)(\kappa,\mu)-contact metric manifold  to verify Theorem 111 of our paper.

Article Details

On some classes of 333-dimensional generalized (κ,μ)(κ,μ) (\kappa ,\mu )-contact metric manifolds

Authors:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.356-368

Document Type:

Article

Publication Date:

8/2015

Document Language:

Turkish

Document ID (Org No.):

2000747179

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Generalized $(\kappa

\mu )$-contact metric manifolds

concircular curvature tensor

ξξ\xi -concircularly flat

locally ϕϕ\phi -concircularly symmetric

Issues

Article Details

On some classes of 333-dimensional generalized (κ,μ)(κ,μ) (\kappa ,\mu )-contact metric manifolds

Authors: Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.356-368

Document Type: Article

Publication Date: 8/2015

Document Language: Turkish

Document ID (Org No.): 2000747179

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Generalized $(\kappa

\mu )$-contact metric manifolds

concircular curvature tensor

ξξ\xi -concircularly flat

locally ϕϕ\phi -concircularly symmetric

Issues

Authors:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2015 Vol.39 Issue 3, pp.356-368

Document Type:

Article

Publication Date:

8/2015

Document Language:

Turkish

Document ID (Org No.):

2000747179

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098