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Resumen de Stability of closed characteristics on compact convex hypersurfaces in R6

Wei Wang

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


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