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math.MG2019★ 1 cited
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…
math.MG2019
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…