Diameter and displacement of sphere involutions
Differential Geometry
2024-06-13 v3
Abstract
We show that spheres in all dimensions can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.
Cite
@article{arxiv.2205.05186,
title = {Diameter and displacement of sphere involutions},
author = {Renato G. Bettiol and Emilio A. Lauret},
journal= {arXiv preprint arXiv:2205.05186},
year = {2024}
}
Comments
Mat. Contemp., to appear