Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions (Q1887415)

The authors prove the existence of a \(C^{1,1}\) compact hypersurface in \(\mathbb{R}^{2n}\) bounding a convex set with non-empty interior, not necessarily symmetric, which has exactly \(n\) geometrically distinct closed characteristics. They use this example to improve earlier multiplicity results on closed characteristics under pinching conditions.