Description

• Title:
  On symplectic manifolds with aspherical symplectic form
• Creator:
  Rudyak, Yuli B.;
  Tralle, Aleksy
• Description:
  We consider closed symplectically aspherical manifolds, i.e. closed symplectic manifolds $(M,\omega)$ satisfying the condition $[\omega]|_{\pi_2M}=0$. Rudyak and Opre[< i> On the Lustrnik–Schnirelmann category of symplectic manifolds and the Arnold conjecture< /i> , Math. Z. < b> 230< /b> (1999), 673–678] 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 $[\omega]$ 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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 14, No 2 (December 1999); 353 - 362;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.038/10019
• Subject:
  Lusternik-Schnirelmann category;
  sympletic manifolds;
  Primary 55M30;
  Secondary 58F05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other