Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture

@article{Etnyre2000ContactTA,
  title={Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture},
  author={John B. Etnyre and Robert Ghrist},
  journal={Nonlinearity},
  year={2000},
  volume={13},
  pages={441-458}
}
We draw connections between the field of contact topology (the study of totally non-integrable plane distributions) and the study of Beltrami fields in hydrodynamics on Riemannian manifolds in dimension three. We demonstrate an equivalence between Reeb fields (vector fields which preserve a transverse nowhere-integrable plane field) up to scaling and rotational Beltrami fields (non-zero fields parallel to their non-zero curl). This immediately yields existence proofs for smooth, steady, fixed… 

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