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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Morgan, F. Isoperimetric balls in cones over tori. Ann Glob Anal Geom 35, 133–137 (2009). https://doi.org/10.1007/s10455-008-9126-8
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DOI: https://doi.org/10.1007/s10455-008-9126-8