Stability of closed characteristics on compact convex hypersurfaces in $\R^6$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139798In this paper, let $Σ\subset\R^{6}$ 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 $\Sg$ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.24 pages, to appear in J. Eur. Math. SocSymplectic Geometry58E05, 37J45, 37C75Stability of closed characteristics on compact convex hypersurfaces in $\R^6$text