6 citations · 9 across the 6 of their papers we have counts for
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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…
The role of the Rogers-Shephard inequality in the characterization of the difference body
Judit Abardia, Eugenia Saorín Gómez
The difference body operator enjoys different characterization results relying on its basic properties such as continuity, SL(n)-covariance, Minkowski valuation or symmetric image.…
How do difference bodies in complex vector spaces look like? A geometrical approach
Judit Abardia, Eugenia Saorín Gómez
We investigate geometrical properties and inequalities satisfied by the complex difference body, in the sense of studying which of the classical ones for the difference body have a…