2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169730We consider a column of a rotating stationary surface in Euclidean space. We obtain a value $l_0>0$ in such way that if the length $l$ of column satisfies $l>l_0$, then the surface is instable. This extends, in some sense, previous results due to Plateau and Rayleigh for columns of surfaces with constant mean curvature.7 pagesDifferential Geometry53C42; 53C20A criterion on instability of rotating cylindrical surfacestext