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arxiv: 1103.0167 · v2 · pith:7DYFTECRnew · submitted 2011-03-01 · 🧮 math.DG

Willmore minimizers with prescribed isoperimetric ratio

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keywords isoperimetricprescribedratiowillmorecellelasticembeddedfunctional
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Motivated by a simple model for elastic cell membranes, we minimize the Willmore functional among two-dimensional spheres embedded in R^3 with prescribed isoperimetric ratio.

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