JournalsjemsVol. 11 , No. 3DOI 10.4171/jems/161

Stability of closed characteristics on compact convex hypersurfaces in <em>&#8477;<sup>6</sup></em>

  • Wei Wang

    Peking University, Beijing, China
Stability of closed characteristics on compact convex hypersurfaces in <em>&#8477;<sup>6</sup></em> cover

Abstract

Let Σ ⊂ ℝ6 be a compact convex hypersurface. We prove that if Σ carries only finitely many geometrically distinct closed characteristics, then at least two of them must have irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.