Singularities of the asymptotic completion of developable M\"obius strips
Differential Geometry
2010-11-15 v1
Abstract
We prove that the asymptotic completion of a developable M\"obius strip in Euclidean three-space must have at least one singular point other than cuspidal edge singularities. Moreover, if the strip contains a closed geodesic, then the number of such singular points is at least three. These lower bounds are both sharp.
Keywords
Cite
@article{arxiv.1011.2806,
title = {Singularities of the asymptotic completion of developable M\"obius strips},
author = {Kosuke Naokawa},
journal= {arXiv preprint arXiv:1011.2806},
year = {2010}
}
Comments
9 pages, 6 figures