An improved bound for the optimal paper Moebius band
Geometric Topology
2023-09-19 v6 Metric Geometry
Abstract
In this paper we show that a smoothly and locally isometrically embedded Moebius band has aspect ratio at least . (The actual bound, an algebraic number that arises in an optimization problem, is a tiny bit better.) Our bound improves significantly on the previous known lower bound of .
Keywords
Cite
@article{arxiv.2008.11610,
title = {An improved bound for the optimal paper Moebius band},
author = {Richard Evan Schwartz},
journal= {arXiv preprint arXiv:2008.11610},
year = {2023}
}
Comments
This paper is entirely superseded by my new paper "The Optimal Paper Moebius Band" (arXiv:2308.12641). This withdrawn paper makes partial progress on the conjecture that the new paper proves in full. Also, the new paper corrects an error in this withdrawn paper