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 J(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 multitime Hamiltonian is given. Mathematics Subject Classification (2000): 53B40, 53C60, 53C07.

Cite this paper

@inproceedings{Atanasiu2008CanonicalNC, title={Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry}, author={Gheorghe Atanasiu and Mircea Neagu}, year={2008} }