Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry (original) (raw)
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Section 1 introduces the notion of h-normal Γ-linear connection on the 1-jet fibre bundle J(T, M), and studies its local components. Section 2 analyses the main local components of torsion and curvature d-tensors attached to an h-normal Γ-linear connection ∇. Section 3 presents the local Ricci identities induced by ∇. The identities of the local deflection d-tensors are also exposed. Section 4 is dedicated to the writing of the local Bianchi identities of ∇. Mathematics Subject Classification (1991): 53C07, 53C43, 53C99.