Singularities of the asymptotic completion of developable Möbius strips
arXiv:1011.2806
Abstract
We prove that the asymptotic completion of a developable Möbius 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.
9 pages, 6 figures