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Taut foliation

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Foliation
2026-10-05  0 By others on same topic  0 Discussions Create my own version
A codimension-one foliation of a closed three-manifold is taut if every leaf meets a closed transverse curve. In particular, the fibers of a bundle over S1 form a taut foliation.
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    • Closed transversal to a foliation Taut foliation

Closed transversal to a foliation

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Taut foliation
A closed transversal is a closed curve everywhere transverse to the leaves of a foliation. A single such curve meeting every leaf proves that the foliation is a taut foliation.

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  • Closed transversal to a foliation
  • Past exam of the mathematics course of the University of Cambridge / 2018 / iii / Paper 141 / 4 / d / Solution

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