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arxiv: 1106.6213 · v1 · pith:LY7APWF2new · submitted 2011-06-30 · 🧮 math.DG

Control of the isoperimetric deficit by the Willmore deficit

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keywords deficitisoperimetricwillmoreclasscontrolcontrolledembeddedprove
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In the class of smoothly embedded surfaces of sphere type we prove that the isoperimetric deficit can be controlled by the Willmore deficit.

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