2011/12/23 by Wei Wang, Wang, Wei · 2 citations
Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.SG
paper · pdf · doi:10.48550/arxiv.1112.5501
25 pages. arXiv admin note: substantial text overlap with arXiv:math/0701673
openalex publication_date 2011/12/23 · arxiv created 2011/12/30 · arxiv updated 2012/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we prove there exist at least [(n+1)/(2)]+1 geometrically distinct closed characteristics on every compact convex hypersurface \Sg in \R2n. Moreover, there exist at least [(n)/(2)]+1 geometrically distinct non-hyperbolic closed characteristics on \Sg in \R2n provided the number of geometrically distinct closed characteristics on \Sg is finite.