A criterion on instability of rotating cylindrical surfaces

Details A criterion on instability of rotating cylindrical surfaces A criterion on instability of rotating cylindrical surfaces

2008-09-22

arxiv.org/abs/0809.3811v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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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