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arXiv · 1011.2806

Singularities of the asymptotic completion of developable M\"obius strips

Kosuke Naokawa
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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.

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Kosuke Naokawa. 2010-11-12. Singularities of the asymptotic completion of developable M\"obius strips. https://arxiv.org/abs/1011.2806

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