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arXiv 0809.3811math.DG
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A criterion on instability of rotating cylindrical surfaces

Rafael López

英文摘要:

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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