Closed Characteristics on Asymmetric Convex Hypersurfaces in R^(2n) and the Corresponding Pinching Conditions

摘要

In this paper, we construct first a ilew concrete example of asymmetric convex compact C^1,1-hypersurfaces in R^2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed characteristics on convex compact hypersurfaces in R^2n pinched by not necessarily symmetric convex compact hypersurfaces.