A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta
arXiv:1112.5442
Abstract
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.
10 pages
References in corpus (5)
- Covariant Hamiltonian field theory
- Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
- Canonical Nonlinear Connections in the Multi-Time Hamilton Geometry
- Polysymplectic Hamiltonian formalism and some quantum outcomes
- The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)