Developable surfaces with prescribed boundary
It is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only finitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context of the dynamics of developable surfaces is discussed.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | It is proved that a generic simple, closed, piecewise regular curve in space
can be the boundary of only finitely many developable surfaces with
nonvanishing mean curvature. The relevance of this result in the context of the
dynamics of developable surfaces is discussed. |
|---|---|
| DOI: | 10.48550/arxiv.2103.01270 |