Irrationally elliptic closed characteristics on symmetric compact convex hypersurfaces in R^8
DOI:
https://doi.org/10.12775/TMNA.2021.057Keywords
Compact convex hypersurfaces, closed characteristics, Hamiltonian systems, Morse theory, index iteration theoryAbstract
Let $\Sigma$ be a $C^3$ compact symmetric convex hypersurface in $\mathbb{R}^{8}$. We prove that when $\Sigma$ carries exactly four geometrically distinct closed characteristics, then there are at least two irrationally elliptic closed characteristics on $\Sigma$.References
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