Optimal sweepouts of a Riemannian 2-sphere
Given a sweepout of a Riemannian 2-sphere which is composed of curves of length less than $L$, we construct a second sweepout composed of curves of length less than $L$ which are either constant curves or simple curves. This result, and the methods used to prove it, have several consequences; we ans...
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| Veröffentlicht in: | Journal of the European Mathematical Society : JEMS 2019-01, Vol.21 (5), p.1361-1377 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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