2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76243Given a Lie group G, a G-manifold M, and a point b of M with compact stabilizer, we construct slices for the lifted tangent and cotangent actions at a pre-image of b in terms of a slice for the G-action on M at the point b. We interpret the slice for the lifted cotangent action in terms of a symplectic slice and in terms of a Witt-Artin-decomposition.AMSTeX 2.1, 17 pagesSymplectic GeometryDifferential Geometry53D20 70H33text