Sasakian Finsler manifolds

Ayşe Funda YALINIZ; Nesrin ÇALIŞKAN

Makale detayları

Sasakian Finsler manifolds

Yazarlar:

Ayşe Funda YALINIZ | Nesrin ÇALIŞKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.319-339

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747667

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this study, almost contact Finsler structures on vector  bundle are defined and the condition of normality in terms of the  Nijenhuis torsion Nf of almost contact Finsler structure is  obtained. It is shown that for a K-contact structure on Finsler  manifold \nablaX x =-\frac{1}{2} f X and the flag curvature for  plane sections containing x are equal to \frac{1}{4}. By using the  Sasakian Finsler structure, the curvatures of a Finsler connection  \nabla on V are obtained. We prove that a locally symmetric Finsler  manifold with K-contact Finsler structure has a constant curvature  \frac{1}{4}. Also, the Ricci curvature on Finsler manifold with  K-contact Finsler structure is given.  As a result, Sasakian  structures in Riemann geometry and Finsler condition are generalized.    As a conclusion we can state  that Riemannian Sasakian  structures are compared to Sasakian Finsler structures and it is  proven that they are adaptable.

 

In this study, almost contact Finsler structures on vector  bundle are defined and the condition of normality in terms of the  Nijenhuis torsion Nf of almost contact Finsler structure is  obtained. It is shown that for a K-contact structure on Finsler  manifold \nablaX x =-\frac{1}{2} f X and the flag curvature for  plane sections containing x are equal to \frac{1}{4}. By using the  Sasakian Finsler structure, the curvatures of a Finsler connection  \nabla on V are obtained. We prove that a locally symmetric Finsler  manifold with K-contact Finsler structure has a constant curvature  \frac{1}{4}. Also, the Ricci curvature on Finsler manifold with  K-contact Finsler structure is given.  As a result, Sasakian  structures in Riemann geometry and Finsler condition are generalized.    As a conclusion we can state  that Riemannian Sasakian  structures are compared to Sasakian Finsler structures and it is  proven that they are adaptable.

Makale detayları

Sasakian Finsler manifolds

Yazarlar:

Ayşe Funda YALINIZ | Nesrin ÇALIŞKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.319-339

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747667

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Finsler connection

vector bundle

almost contact manifold

Sasakian manifold

nonlinear connection

Ricci tensor

Sayı

Makale detayları

Sasakian Finsler manifolds

Yazarlar: Ayşe Funda YALINIZ | Nesrin ÇALIŞKAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.319-339

Belge Tipi: Makale

Yayın Tarihi: 1/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000747667

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Finsler connection

vector bundle

almost contact manifold

Sasakian manifold

nonlinear connection

Ricci tensor

Sayı

Yazarlar:

Ayşe Funda YALINIZ | Nesrin ÇALIŞKAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 2, pp.319-339

Belge Tipi:

Makale

Yayın Tarihi:

1/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747667

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098