Multiplicity of closed characteristics on symmetric convex hypersurfaces in R-2n

作者：Liu CG^*; Long YM; Zhu CF

来源：Mathematische Annalen, 2002, 323(2): 201-215.

DOI：10.1007/s002080100257

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.

• 出版日期2002-6
• 单位南开大学