×
Suggest this Article to:
TOP INDEXERS
Public Article
-
verified
Some Identities for Generalized Curvature Tensors in B-Recurrent Finsler Space
ISSN: 2149 - 1402
Publisher: author
Some Identities for Generalized Curvature Tensors in B-Recurrent Finsler Space
Indexed in
Science General
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 2
Article Operation Score: 2
Article Articles Score: 2
Article Accessibility Score: 2
SUBMIT PAPER ASK QUESTION
International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214975291402
eISSN
:
2149 - 1402
VALID
ISSN Validator
Abstract
The purpose of the present paper is to consider and study a certain identities for some generalized curvature tensors in B-recurrent Finsler space F_n in which Cartan’s second curvature tensor P_jkh^i satisfies the generalized of recurrence condition with respect to Berwald’s connection parameters G_kh^i which given by the condition 〖B_m P〗_jkh^i=〖λ_m P〗_jkh^i+μ_m (〖 δ〗_h^i g_jk-〖 δ〗_k^i g_jh ), where B_m is covariant derivative of first order (Berwald’s covariant differential operator) with respect to x^m, it’s called a generalized BP-recurrent space. We shall denote it briefly by GBP-RF_n. We have obtained Berwald’s covariant derivative of first order for the h(v)-torsion tensor P_(kh )^i, the deviation tensor P_(h )^i and the covariant derivative of the tensor 〖 H〗_(kp.h) (in the sense of Berwald), also we find some theorems of the R-Ricci tensor R_jk and the curvature vector R_jin our space. We ob...
