Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry

Details Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry

2009-12-28

arxiv.org/abs/0912.5209v1

V. Balan, M. Neagu: "Jet Single-Time Lagrange Geometry and Its Applications", John Wiley & Sons, Inc., Hoboken, New Jersey, 20

Mathematics

Differential Geometry

16 pages

Scientific paper

The aim of this paper is to describe the local Bianchi identities for an $h$-normal $\Gamma$-linear connection of Cartan type $\nabla\Gamma$ 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 $\nabla\Gamma$ and we give the general local expressions of Bianchi identities which connect these d-torsions and d-curvatures.

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