A criterion on instability of rotating cylindrical surfaces
classification
🧮 math.DG
keywords
columnrotatingsurfacesurfacescolumnsconsiderconstantcriterion
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We 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.
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