Mathematics – Differential Geometry
Scientific paper
2001-11-14
"d-Metrics and nonlinear connections on 1-jet fibre bundles", Seminarul de Mecanica 84 (2003), 1-12
Mathematics
Differential Geometry
7 pages, Versions of this paper were presented at: -Workshop on Differential Geometry, Global Analysis and Lie Algebras, Arist
Scientific paper
The aim of this paper is to open the problem of construction of a nonlinear connection $\Gamma=(M^{(i)}_{(\alpha)\beta}, N^{(i)}_{(\alpha)j})$ on the jet bundle of first order $J^1(T,M)$, which to be canonically produced by a Kronecker product vertical metrical d-tensor $G^{(\alpha)(\beta)}_{(i)(j)}=h^{\alpha\beta}g_{ij}$, possibly provided by multi-time dependent quadratic Lagrangians coming from various branches of theoretical physics: bosonic strings theory, electrodynamics or elasticity.
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