Isometries of the class of ball-bodies
Metric Geometry
2025-07-09 v2
Abstract
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 isometry is given by the composition of a rigid motion with either the identity or the c-duality mapping, which maps a body in this class to the intersection of Euclidean unit balls centered at points in the body.
Cite
@article{arxiv.2503.02599,
title = {Isometries of the class of ball-bodies},
author = {Shiri Artstein-Avidan and Arnon Chor and Dan Florentin},
journal= {arXiv preprint arXiv:2503.02599},
year = {2025}
}
Comments
Final version