On symplectic manifolds with aspherical symplectic form

Simple item page
dc.creatorRudyak, Yuli
dc.creatorTralle, Aleksy
dc.date1999-07-31
dc.date.accessioned2026-07-07T05:30:09Z
dc.date.available2026-07-07T05:30:09Z
dc.descriptionWe consider closed symplectically aspherical manifolds, i.e. closed symplectic manifolds $(M,ω)$ satisfying the condition $[ω]|_{π_2M}=0$. 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.
dc.description12 pages, amstex
dc.identifierhttps://arxiv.org/abs/math/9908001
dc.identifierhttp://arxiv.org/abs/math/9908001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78903
dc.subjectDifferential Geometry
dc.titleOn symplectic manifolds with aspherical symplectic form
dc.typetext

Files

Collections

arXiv