Mathematics > Metric Geometry
[Submitted on 4 Mar 2025
(v1)
, last revised 8 Jul 2025 (this version, v2)]
Title: Isometries of the class of ball-bodies
Title: 球体的等距变换
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.
Submission history
From: Arnon Chor [view email][v1] Tue, 4 Mar 2025 13:19:00 UTC (18 KB)
[v2] Tue, 8 Jul 2025 07:31:00 UTC (10 KB)
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