Contact topology and hydrodynamics III: knotted flowlines

Simple item page
dc.creatorEtnyre, John
dc.creatorGhrist, Robert
dc.date1999-06-24
dc.date.accessioned2026-07-07T04:32:51Z
dc.date.available2026-07-07T04:32:51Z
dc.descriptionWe 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 $S^3$.
dc.description17 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/9906021
dc.identifierhttp://arxiv.org/abs/math-ph/9906021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58350
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M25; 76C05; 58F25; 58F05
dc.titleContact topology and hydrodynamics III: knotted flowlines
dc.typetext

Files

Collections

arXiv