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math.DG2023
Rigidity and large volume residues in exterior isoperimetry for convex sets
Nicola Fusco, Francesco Maggi, Massimiliano Morini +1
A comparison theorem by Choe, Ghomi and Ritoré states that the exterior isoperimetric profile of any convex body in lies above that of…
math.DG2021
Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
Nicola Fusco, Massimiliano Morini
We settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior.