Hyperbolic closed characteristics on compact convex smooth hypersurfaces in R2n

[摘要] In this paper we prove that on every compact C-2 hypersurface in R-2n bounding a convex set with non-empty interior, either there exists a sequence of variationally visible hyperbolic closed characteristes with their minimal periods tending to infinity, or there exists at least one variationally visible nonhyperbolic closed characteristic. (C) 1998 Academic Press.

[发布日期] 1998-12-10