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Contact topology and hydrodynamics II: solid tori

  • JOHN ETNYRE (a1) and ROBERT GHRIST (a2)

Abstract

We prove the existence of periodic orbits for steady real-analytic 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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Contact topology and hydrodynamics II: solid tori

  • JOHN ETNYRE (a1) and ROBERT GHRIST (a2)

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