Characterizations of generalized convex bodies of revolution
Metric Geometry
2026-02-03 v4
Abstract
In this work we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body in the Euclidean space , are enough to guarantee that is a generalized body of revolution (and in some cases a sphere).
Keywords
Cite
@article{arxiv.2006.12646,
title = {Characterizations of generalized convex bodies of revolution},
author = {María Angeles Alfonseca and Michelle Cordier and Efrén Morales Amaya and Diana Janett Verdusco Hernández},
journal= {arXiv preprint arXiv:2006.12646},
year = {2026}
}