Multiplicity of closed characteristics on symmetric convex hypersurfaces in ${\mathbb{R}}^{2n}$

Chun-gen Liu, Yiming Long, Chaofeng Zhu

Let $\Sigma$ be a compact $C^2$ hypersurface in ${\mathbb{R}}^{2n}$ bounding a convex set with non-empty interior. In this paper it is proved that there always exist at least $n$ geometrically di…