Singularities of the asymptotic completion of developable M\"obius strips
classification
🧮 math.DG
keywords
asymptoticcompletiondevelopableleastobiussingularsingularitiesstrip
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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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