2013/09/19 by Hansjörg Geiges, Nena Röttgen, Kai Zehmisch · 1 citation
Mathematics · #math.DS #math.SG #msc:37C27 #msc:37C70 #msc:53D10
paper · pdf · doi:10.1007/s00222-014-0500-9
published as Invent. Math. 198 (2014), 211-217 · 6 pages
arxiv created 2013/09/19 · arxiv updated 2017/08/02
We construct a contact form on R2n+1, n at least 2, equal to the standard contact form outside a compact set and defining the standard contact structure on all of R2n+1, which has trapped Reeb orbits, including a torus invariant under the Reeb flow, but no closed Reeb orbits. This answers a question posed by Helmut Hofer.