Trapped Reeb orbits do not imply periodic ones
Abstract
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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.