Canonical Nonlinear Connections on Jet Bundles of First Order
Abstract
The aim of this paper is to open the problem of construction of a nonlinear connection =(M(i)(α)β, N(i)(α)j) on the jet bundle of first order J1(T,M), which to be canonically produced by a Kronecker product vertical metrical d-tensor G(α)(β)(i)(j)=hαβgij, 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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