Contact topology and hydrodynamics II: solid tori
John Etnyre, Robert Ghrist
Abstract
We prove the existence of periodic orbits for steady Cω Euler flows on all Riemannian solid tori. By using the correspondence theorem from part I of this series, we reduce the problem to the Weinstein Conjecture for solid tori. We prove the Weinstein Conjecture on the solid torus via a combination of results due to Hofer et al. and a careful analysis of tight contact structures on solid tori.
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