Diameter and displacement of sphere involutions
Abstract
We show that spheres in all dimensions $\geq3$ can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2022
- DOI:
- arXiv:
- arXiv:2205.05186
- Bibcode:
- 2022arXiv220505186B
- Keywords:
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- Mathematics - Differential Geometry;
- 51M16 (Primary) 53C20;
- 53C30;
- 58C40 (Secondary)
- E-Print:
- Mat. Contemp., to appear