2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33372This paper uses a generalization of symplectic geometry, known as $n$-symplectic geometry and developed by Norris, to find observables on three-dimensional manifolds. It will be seen that for the cases considered, the $n$-symplectic observables are derivable from the symplectic observables of $C^2$. The quantization of these observables, as well as those on the frame bundle of $R^n$, is also examined.LaTeX, 26 pagesDifferential Geometrytext