2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169390We show that if $F$ is a smooth, closed, orientable surface embedded in a closed, orientable 3-manifold $M$ such that for each Riemannian metric $g$ on $M$, $F$ is isotopic to a least-area surface $F(g)$, then $F$ is incompressible.6 pagesGeometric TopologyDifferential Geometry57N10; 53A10text