1999/05/24 by Guangcun Lu, Lu, Guangcun
Mathematics · #53C15 #57R57 #58F05 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53C15 #msc:57R57 #msc:58F05
paper · pdf · doi:10.48550/arxiv.math/9905146
23 pages, LaTeX, a serious error is corrected and some new results are added
openalex publication_date 1999/05/24 · arxiv created 2000/05/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove the existence of a periodic motion of a charge on a large class of manifolds under the action of the magnetic fields. Our methods also give a class of closed manifolds whose cotangent bundle contain no the closed exact Lagrangian submanifolds.