%0 Journal Article %T A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta %A Alexandru Oana %A Mircea Neagu %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1112.5442v1