标题： 球体类的等距变换 显示英文标题

标题： Isometries of the class of ball-bodies

摘要： 我们表征了相对于Hausdorff距离的由欧几里得单位球交集构成的体类的满射等距。 我们证明了任何这样的等距都是刚体运动与恒等映射或c-对偶映射的复合，该映射将此类中的一个体映射到以该体中点为中心的欧几里得单位球的交集。 显示英文摘要

摘要： 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.