Stability of closed characteristics on compact convex hypersurfaces in R6

• Autores: Wei Wang
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 11, Nº 3, 2009, págs. 575-596
• Idioma: inglés
• DOI: 10.4171/jems/161
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• Resumen

  • 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.