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  "body": "\n## Summary\n\nThe Reeb vector field is the [[vector field|0299VCW1TH]] determined by a contact form on a [[contact manifold|HBQ8BZ7XB5]].\nIt is transverse to the contact hyperplanes and its flow preserves the contact form.\nReeb flows include geodesic flows on unit cotangent bundles and Hamiltonian flows on energy surfaces of contact type.\nTheir periodic orbits are the subject of the [[Weinstein conjecture|MP6B64DS31]] and of contact homology.\n\n## Explanations\n\n### L1 human\n\nA contact form picks out a plane at each point, and it also measures how far a vector sticks out of that plane.\nThe Reeb vector field is the unique direction that sticks out by exactly one unit and along which the twisting of the planes does not change.\nOn the three-sphere with its standard contact form, the Reeb flow moves every point around a great circle, and these circles are the fibers of the Hopf fibration.\n",
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