1999/07/31 by Yuli Rudyak, Aleksy Tralle, Rudyak, Yuli +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.math/9908001
12 pages, amstex
arxiv created 1999/07/31 · arxiv updated 2009/11/30
We consider closed symplectically aspherical manifolds, i.e. closed symplectic manifolds (M,ω) satisfying the condition [ω]|π2M=0. Rudyak and Oprea [RO] remarked that such manifolds have nice and controllable homotopy properties. Now it is clear that these properties are mostly determined by the fact that the strict category weight of [ω] equals 2. We apply the theory of strict category weight to the problem of estimating the number of closed orbits of charged particles in symplectic magnetic fields. In case of symplectically aspherical manifolds our theory enables us to improve some known estimations.