2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174532We prove that a strictly stable constant-mean-curvature hypersurface in a smooth manifold of dimension less than or equal to 7 is uniquely homologically area minimizing for fixed volume in a small L^1 neighborhood.5 pages, 1 figureDifferential Geometry49Q20, 53C42Stable constant mean curvature hypersurfaces are area minimizing in small L^1 neighborhoodstext