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arXiv · 1309.3398

Symmetric closed characteristics on symmetric compact convex hypersurfaces in $\mathbf{R}^8$: Special cases

Ping-An Zhang
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Abstract

Let $Σ$ be a $C^3$ compact symmetric convex hypersurface in $\mathbf{R}^{8}$. For some special cases, we prove that when $Σ$ carries exactly four geometrically distinct closed characteristics, then all of them must be symmetric.

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Ping-An Zhang. 2013-09-22. Symmetric closed characteristics on symmetric compact convex hypersurfaces in $\mathbf{R}^8$: Special cases. https://arxiv.org/abs/1309.3398

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