Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry

Details Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry

2008-07-06

arxiv.org/abs/0807.0910v1

Balkan Journal of Geometry and Its Applications, Vol. 14, No. 2 (2009), 1-12

Mathematics

Differential Geometry

18 pages

Scientific paper

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 $J^{1*}(\cal{T}, M)\to \cal{T}\times M$. 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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