128 citations · 195 across the 17 of their papers we have counts for
5 papers · 1 filter
On the non-existence of tight contact structures
John B. Etnyre, Ko Honda
We exhibit a 3-manifold which admits no tight contact structure.
Contact topology and hydrodynamics II: solid tori
John Etnyre, Robert Ghrist
We prove the existence of periodic orbits for steady Euler flows on all Riemannian solid tori. By using the correspondence theorem from part I of this series, we reduce the p…
Contact topology and hydrodynamics III: knotted flowlines
John Etnyre, Robert Ghrist
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 Rie…
Stratified integrals and unknots in invisid flows
John B. Etnyre, Robert W. Ghrist
We prove that any steady solution to the real analytic Euler equations on a Riemannian 3-sphere must possess a periodic orbit bounding an embedded disc. One key ingredient is an ex…
Gradient flows within plane fields
John Etnyre, Robert Ghrist
We consider the dynamics of vector fields on three-manifolds which are constrained to lie within a plane field, such as occurs in nonholonomic dynamics. On compact manifolds, such…