Singularities of the asymptotic completion of developable Möbius strips

Details Singularities of the asymptotic completion of developable Möbius strips Singularities of the asymptotic completion of developable Möbius strips

2010-11-12

arxiv.org/abs/1011.2806v1

Mathematics

Differential Geometry

9 pages, 6 figures

Scientific paper

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.

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