Supersqueezed sphere
Differential Geometry
2025-11-18 v1 Geometric Topology
Abstract
This work pose an example of a smooth closed surface in which has genus , normal curvatures at most in absolute value and encloses a volume smaller than the volume of a unit ball. It gives a negative answer to a question asked by Dmitri Burago and Anton Petrunin.
Cite
@article{arxiv.2511.12598,
title = {Supersqueezed sphere},
author = {Hongda Qiu},
journal= {arXiv preprint arXiv:2511.12598},
year = {2025}
}