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Three closed characteristics on non-degenerate star-shaped hypersurfaces in $\mathbf{R}^{6}$
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classification
math.DSmath.SG
keywords
closedprimecharacteristiccharacteristicsindexmaslov-typemathbfnon-degenerate
abstract
In this paper, we prove that for every non-degenerate $C^3$ compact star-shaped hypersurface $\Sigma$ in $\mathbf{R}^{6}$ which carries no prime closed characteristic of Maslov-type index $0$ or no prime closed characteristic of Maslov-type index $-1$, there exist at least three prime closed characteristics on $\Sigma$.
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