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Reflections of Convex Bodies and Their Sections by Arocha, Jorge L.; Bracho, Javier; Montejano, Luis is a scholarly article available to read on EtoBox.

What is Reflections of Convex Bodies and Their Sections about?

The purpose of this paper is to study the reflections of a convex body. In particular, we are interested in orthogonal reflections of its sections that can be extended to reflections of the whole body. For this reason, we need to study the case of a non-spherical ellipsoid, where a surprising structure arises (Section 2). These results allow us to give a new characterization of ellipsoids in terms of their reflections and, on the other hand, to prove a result deeply related to a conjecture due to K. Bezdek.

Author

Arocha, Jorge L.; Bracho, Javier; Montejano, Luis

Published

2022

Language

EN