A criterion on instability of rotating cylindrical surfaces

2008/09/22 by Rafael López, López, Rafael
Mathematics · #53C20 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C20 #msc:53C42

paper · pdf · doi:10.48550/arxiv.0809.3811

7 pages

arxiv created 2008/09/22 · arxiv updated 2009/12/01

Abstract

We consider a column of a rotating stationary surface in Euclidean space. We obtain a value l₀>0 in such way that if the length l of column satisfies l>l₀, 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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