A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta

Details A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta

2011-12-22

arxiv.org/abs/1112.5442v1

Mathematics

Differential Geometry

10 pages

Scientific paper

In this paper we construct a distinguished Riemannian geometrization on the dual 1-jet space J^{1*}(T,M) for the multi-time quadratic Hamiltonian functions. Our geometrization includes a nonlinear connection N, a generalized Cartan canonical N-linear connection (together with its local d-torsions and d-curvatures), naturally provided by a given quadratic Hamiltonian function depending on polymomenta.

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