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Canal Classes and Cheeger Sets
Nico Lombardi, Christian Richter, Eugenia Saorín Gómez
Giannopoulos, Hartzoulaki and Paouris asked in \cite{GHP} whether the best ratio between volume and surface area of convex bodies sharing a given orthogonal projection onto a fixed…
Isoperimetric relations for inner parallel bodies
María A. Hernández Cifre, Eugenia Saorín Gómez
We analyze aspects of the behavior of the family of inner parallel bodies of a convex body for the isoperimetric quotient and deficit of arbitrary quermassintegrals. By means of te…
On a reverse isoperimetric inequality for relative outer parallel bodies
Eugenia Saorín Gómez, Jesús Yepes Nicolás
We show a reverse isoperimetric inequality within the class of relative outer parallel bodies, with respect to a general convex body , along with its equality condition. Based o…