Hostname: page-component-7c8c6479df-ws8qp Total loading time: 0 Render date: 2024-03-28T22:13:49.491Z Has data issue: false hasContentIssue false

Contact topology and hydrodynamics II: solid tori

Published online by Cambridge University Press:  19 June 2002

JOHN ETNYRE
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395, USA (e-mail: etnyre@math.upenn.edu)
ROBERT GHRIST
Affiliation:
School of Mathematics & CDSNS, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA (e-mail: ghrist@math.gatech.edu)

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.

Type
Research Article
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)