Stratified Integrals and Unknots in Inviscid Flows

نویسندگان

  • John B. Etnyre
  • Robert W. Ghrist
  • JOHN B. ETNYRE
  • ROBERT W. GHRIST
چکیده

We prove that any steady solution to the Cω Euler equations on a Riemannian S3 must possess a periodic orbit bounding an embedded disc. One key ingredient is an extension of Fomenko’s work on the topology of integrable Hamiltonian systems to a degenerate case involving stratified integrals. The result on the Euler equations follows from this when combined with some contact-topological perspectives and a recent result of Hofer, Wyzsocki, and Zehnder.

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تاریخ انتشار 1999