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

Ahmet YILDIZ; Uday Chand DE; Azime ÇETİNKAYA

Makale detayları

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

Yazarlar:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Yayıncı:

TUBITAK

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747179

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

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.

Makale detayları

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

Yazarlar:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Yayıncı:

TUBITAK

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747179

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Generalized $(\kappa

\mu )$-contact metric manifolds

concircular curvature tensor

ξξ\xi -concircularly flat

locally ϕϕ\phi -concircularly symmetric

Sayı

Makale detayları

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

Yazarlar: Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Yayıncı: TUBITAK

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

Belge Tipi: Makale

Yayın Tarihi: 8/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000747179

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Generalized $(\kappa

\mu )$-contact metric manifolds

concircular curvature tensor

ξξ\xi -concircularly flat

locally ϕϕ\phi -concircularly symmetric

Sayı

Yazarlar:

Ahmet YILDIZ | Uday Chand DE | Azime ÇETİNKAYA

Yayıncı:

TUBITAK

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

8/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747179

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098