Stability of closed characteristics on compact convex hypersurfaces in R
نویسنده
چکیده
In this paper, let Σ ⊂ R 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 possess irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.
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