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

Chaofeng Zhu; Chun-gen Liu; Yiming Long

arxiv: math/0109171 · v1 · pith:2EXIZ6NFnew · submitted 2001-09-23 · 🧮 math.DS · math.SG

Multiplicity of closed characteristics on symmetric convex hypersurfaces in R^(2n)

Chun-gen Liu , Yiming Long , Chaofeng Zhu This is my paper

classification 🧮 math.DS math.SG

keywords sigmacharacteristicsclosedconvexsymmetricalwaysboundingcompact

0 comments

read the original abstract

Let $\Sigma$ be a compact $C^2$ hypersurface in $\R^{2n}$ bounding a convex set with non-empty interior. In this paper it is proved that there always exist at least $n$ geometrically distinct closed characteristics on $\Sigma$ if $\Sigma$ is symmetric with respect to the origin.

This paper has not been read by Pith yet.

Multiplicity of closed characteristics on symmetric convex hypersurfaces in R^(2n)

discussion (0)