2015/04/30 by Hui Liu, Liu, Hui, Duanzhi Zhang +1
Mathematics · #34C25 #37J45 #58E05 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DS #msc:34C25 #msc:37J45 #msc:58E05
paper · pdf · doi:10.48550/arxiv.1504.08060
21 pages. To appear in DCDS-A. arXiv admin note: text overlap with arXiv:0812.0049, arXiv:0909.3564, arXiv:0812.0041 by other authors
arxiv created 2015/04/30 · openalex publication_date 2015/04/30 · arxiv updated 2015/05/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In this paper, let n≥2 be an integer, P=diag(-In-κ,Iκ,-In-κ,Iκ) for some integer κ∈[0, n-1), and Σ⊂ \bf R2n be a partially symmetric compact convex hypersurface, i.e., x∈ Σ implies Px∈Σ. We prove that if Σ is (r,R)-pinched with (R)/(r)<√((5)/(3)), then Σ carries at least two geometrically distinct P-symmetric closed characteristics which possess at least 2n-4κ Floquet multipliers on the unit circle of the complex plane.