%0 Journal Article
%T Ricci and Bianchi identities for -normal -linear connections on
%A Mircea Neagu
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203012419
%X The aim of this paper is to describe the local Ricci and Bianchi identities of an h-normal Γ-linear connection on the first-order jet fibre bundle J1(T,M). We present the physical and geometrical motives that determined our study and introduce the h-normal Γ-linear connections on J1(T,M), emphasizing their particular local features. We describe the expressions of the local components of torsion and curvature d-tensors produced by an h-normal Γ-linear connection ∇Γ, and analyze the local Ricci identities induced by ∇Γ, together with their derived local deflection d-tensors identities. Finally, we expose the local expressions of Bianchi identities which geometrically connect the local torsion and curvature d-tensors of connection ∇Γ.
%U http://www.hindawi.com/journals/ijmms/2003/412587/abs/