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Dual jet geometrical objects of momenta in the time-dependent Hamilton geometry

Differential Geometry 2021-07-23 v2

Abstract

The aim of this paper is to obtain on the dual 1-jet space J^{1*}(R;M) the main geometrical objects used in the dual jet geometry of time-dependent Hamiltonians. We talk about distinguished (d-) tensors, time-dependent semisprays, nonlinear connections and their mathematical connections.

Keywords

Cite

@article{arxiv.1610.08790,
  title  = {Dual jet geometrical objects of momenta in the time-dependent Hamilton geometry},
  author = {Mircea Neagu and Alexandru Oana},
  journal= {arXiv preprint arXiv:1610.08790},
  year   = {2021}
}

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10 pages