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Several characterizations of the sphere

✍ Scribed by A. Švec


Publisher
Springer Netherlands
Year
1976
Tongue
English
Weight
165 KB
Volume
7
Category
Article
ISSN
0031-5303

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A characterization of the tight 3-sphere
✍ H. Hofer; K. Wysocki; K. Zehnder 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 258 KB

Recall that every closed, oriented, connected 3-manifold M admits a contact form λ. We shall give conditions on a periodic orbit P 0 of the Reeb vector field defined by λ that allows the construction of an open book decomposition of M \ P 0 into embedded planes asymptotic to P 0 such that P 0 is the