Some Identities for Generalized Curvature Tensors in -Recurrent Finsler Space

Adel Mohammed Ali AL-QASHBARİ

Makale detayları

Some Identities for Generalized Curvature Tensors in -Recurrent Finsler Space

Yazarlar:

Adel Mohammed Ali AL-QASHBARİ

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2020 Issue 32, pp.30-39

Belge Tipi:

Makale

Yayın Tarihi:

9/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000490387

Sıklık:

Üç Aylık

pISSN:

2149-1402

Özet:

 

The purpose of the present paper is to consider and study a certain identities for some generalized curvature tensors in ℬ-recurrent Finsler space  in which Cartan’s second curvature tensor ℎ satisfies the generalized of recurrence condition with respect to Berwald’s connection parameters Gℎ which given by the condition ℬℎ= ℎ+( ℎ −  ℎ), where ℬ is covariant derivative of first order (Berwald’s covariant differential operator ) with respect to , it’s called a generalized ℬP-recurrent space. We shall denote it briefly by ℬ-. We have obtained Berwald’s covariant derivative of first order for the h(v)-torsion tensor ℎ , the deviation tensor ℎ  and the covariant derivative of the tensor .ℎ (in the sense of Berwald), also we find some theorems of the R-Ricci tensor  and the curvature vector in our space. We obtained the necessary and sufficient condition for Berwald’s covariant derivative of Weyl’s projective curvature tensor ℎ and its torsion tensor ℎ in our space. Also, we have proved that in ℬ-, Cartan’s second curvature tensor ℎ and the v(hv)-torsion tensor ℎ for =4 .

Makale detayları

Some Identities for Generalized Curvature Tensors in -Recurrent Finsler Space

Yazarlar: Adel Mohammed Ali AL-QASHBARİ

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Theory 2020 Issue 32, pp.30-39

Belge Tipi: Makale

Yayın Tarihi: 9/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000490387

Sıklık: Üç Aylık

pISSN: 2149-1402

Sayı

Yazarlar:

Adel Mohammed Ali AL-QASHBARİ

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2020 Issue 32, pp.30-39

Belge Tipi:

Makale

Yayın Tarihi:

9/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000490387

Sıklık:

Üç Aylık

pISSN:

2149-1402