Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 50, Number 2 (2013), 425-437.
Singularities of the asymptotic completion of developable Möbius strips
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 is generated by a closed geodesic, then the number of such singular points is at least three. These lower bounds are both sharp.
Osaka J. Math., Volume 50, Number 2 (2013), 425-437.
First available in Project Euclid: 21 June 2013
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Naokawa, Kosuke. Singularities of the asymptotic completion of developable Möbius strips. Osaka J. Math. 50 (2013), no. 2, 425--437. https://projecteuclid.org/euclid.ojm/1371833493