Capacity inequalities and rigidity of cornered/conical ...
Equality holds if and only (Omega ) is the intersection of a ball centered at the vertex of cone with C.. Remark 1. The above result can be proved under the same hypothesis but with outer-minimizing replaced by star-shaped with respect to the center of C.In which case one can use the same approaching as in Theorem 2.. In the theory of convex bodies, Alexandrov–Fenchel inequalities to star ...