Stability of closed characteristics on compact convex hypersurfaces in
Wei Wang
Peking University, Beijing, China
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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.
Cite this article
Wei Wang, Stability of closed characteristics on compact convex hypersurfaces in . J. Eur. Math. Soc. 11 (2009), no. 3, pp. 575–596
DOI 10.4171/JEMS/161