2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59147We show that every Sasakian manifold in dimension $2k+1$ is locally generated by a free real function of $2k$ variables. This function is a Sasakian analogue of the Kähler potential for Kähler geometry. It is also shown that every locally Sasakian-Einstein manifold in $2k+1$ dimensions is generated by a locally Kähler-Einstein manifold in dimension $2k$.Differential GeometryGeneral Relativity and Quantum CosmologyLocally Sasakian Manifoldstext