Certain Identities in Generalized Rh Recurrent Finsler Space

Select Volume / Issue:

• Volume 4 Issue 2, March, 2016

Year:

2016

Type of Publication:

Article

Keywords:

Finsler space, Generalized Rh Recurrent Space, Ricci Tensor

Authors:

Fahmi Yaseen Abdo Qasem; Adel Mohammed Ali AL-Qashbari

Journal:

IJISM

Volume:

4

Number:

2

Pages:

66-69

Month:

March

ISSN:

2347-9051

Abstract:

In this paper we define a Finsler space F_n in which Cartan's third curvature tensor R_jkh^i satisfies the generalized of recurrence condition with respect to Cartan’s convection parameters _kh^(*i) which given by the condition R_(jkh׀l)^i=〖λ_l R〗_jkh^i+μ_l (δ_h^i g_jk-δ_k^i g_jh ), where├ ┤|l is h-covariant differentiation, λ_l and μ_l are non-null covariant vectors field is introduced and such space is called as a generalized R^h-recurrent space and denote it briefly by G H^h-〖R F〗_n . The Ricci tensor R_kh , the curvature vector R_k and the curvature scalar R of such space are non-vanishing. Finally, we obtained certain identities for a generalized R^h-recurrent space.

Full text: IJISM_521_FINAL.pdf [Bibtex]