83 citations · 134 across the 29 of their papers we have counts for
36 papers
A sharp Santaló inequality in a slab with centrally symmetric sections
Shiri Artstein-Avidan
We prove a sharp Santaló-type inequality for the product of and of the Legendre transform of , where is an even geometric convex function on and $V…
Symmetrizations of Ball-Bodies
Shiri Artstein-Avidan, Dan I. Florentin
We study symmetrization procedures within the class of \emph{ball-bodies}, i.e.\ intersections of unit Euclidean balls (equivalently, summands of the Euclidean unit…
An in-depth study of ball-bodies
Shiri Artstein-Avidan, Dan I. Florentin
In this paper we study the class of so called `ball-bodies' in , given by intersections of translates of Euclidean unit balls (or, equivalently, summand of the Eucli…
Some inequalities of isoperimetric type for the c-affine surface area
Shiri Artstein-Avidan, Arnon Chor
We study the c-affine surface area , recently introduced by Schütt, Werner and Yalikun. We show that on the class of ball-bodies, is maximized by a ball of radius $\frac…
A full classification of the isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball-bodies, endowed with the Hausdorf…
Isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
We characterize the surjective isometries, with respect to the Hausdorff distance, of the class of bodies given by intersections of Euclidean unit balls. We show that any such isom…