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Isoperimetric balls in cones over tori
Authors:Frank Morgan
Institution:1.Department of Mathematics and Statistics,Williams College,Williamstown,USA
Abstract:In the cone over a cubic three-torus T 3, balls about the vertex are isoperimetric if the volume of T 3 is less than π/16 times the volume of the unit three-sphere. The conjectured optimal constant is 1.
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