Control of the isoperimetric deficit by the Willmore deficit

2011/06/30 by Röger, Matthias, Schätzle, Reiner
#52A40 #53A05 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.6213

Abstract

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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