Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry
Abstract
In this paper we study some geometrical objects (d-tensors, multi-time semisprays of polymomenta and nonlinear connections) on the dual 1-jet vector bundle J1*(T, M) T× M. Some geometrical formulas, which connect the last two geometrical objects, are also derived. Finally, a canonical nonlinear connection produced by a Kronecker h-regular multi-time Hamiltonian is given.
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