Stability of closed characteristics on compact convex hypersurfaces in $\R^6$
Abstract
Description
In 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. Soc
24 pages, to appear in J. Eur. Math. Soc