Three closed characteristics on non-degenerate star-shaped hypersurfaces in ${\mathbf{R}}^6$

Huagui Duan, Hui Liu, Yiming Long +2

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 ind…