arXiv · 0912.5209
Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry
Abstract
The aim of this paper is to describe the local Bianchi identities for an $h$-normal $Γ$-linear connection of Cartan type $\nablaΓ$ on the first-order jet space $J^1(R,M)$. In this direction, we present the local expressions of the adapted components of the torsion and curvature d-tensors produced by $\nablaΓ$ and we give the general local expressions of Bianchi identities which connect these d-torsions and d-curvatures.
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Mircea Neagu. 2009-12-28. Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry. https://arxiv.org/abs/0912.5209
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