Symmetric closed characteristics on symmetric compact convex hypersurfaces in R⁸: Special cases

2013/09/13 by Ping-An Zhang, Pingan Zhang, Zhang, Ping-An · 1 citation
Mathematics · #34C25 #37J45 #58E05 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:34C25 #msc:37J45 #msc:58E05

paper · pdf · doi:10.48550/arxiv.1309.3398

This paper has been withdrawn by the author due to a crucial sign error in equation 1

openalex publication_date 2013/09/13 · arxiv created 2013/09/22 · arxiv updated 2013/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Σ be a C³ compact symmetric convex hypersurface in R⁸. For some special cases, we prove that when Σ carries exactly four geometrically distinct closed characteristics, then all of them must be symmetric.

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