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math.MG2025
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…
math.MG2025
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…
math.MG2025
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…