%0 Journal Article
%T Contact topology and hydrodynamics III: knotted flowlines
%A John Etnyre
%A Robert Ghrist
%J Physics
%D 1999
%I arXiv
%X We employ the relationship between contact structures and Beltrami fields derived in part I of this series to construct steady nonsingular solutions to the Euler equations on a Riemannian $S^3$ whose flowlines trace out closed curves of all possible knot and link types simultaneously. Using careful contact-topological controls, we can make such vector fields real-analytic and transverse to the tight contact structure on $S^3$.
%U http://arxiv.org/abs/math-ph/9906021v1