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

Wei Wang
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Abstract

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.

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Wei Wang. 2007-10-11. Stability of closed characteristics on compact convex hypersurfaces in $\R^6$. https://arxiv.org/abs/math/0701673

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