2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70157In this Note, we will characterize the Poisson structures compatible with the canonical metric of $\reel^3$. We will also give some relvant examples of such structures. The notion of compatibility used in this Note was introduced and studied by the author in previous papers.7 pagesDifferential GeometrySymplectic GeometryPoisson structures compatible with the canonical metric on $\reel^3$text