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

Wei Wang

Type: Article

Publication Date: 2009-06-30

Citations: 36

DOI: https://doi.org/10.4171/jems/161

Abstract

Let Σ ⊂ ℝ6 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 have irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.

Locations

Journal of the European Mathematical Society - View - PDF

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