Opis

• Tytuł:
  Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
• Twórca:
  Dekimpe, Karel;
  Deré, Jonas
• Opis:
  An infra-nilmanifold is a manifold which is constructed as a~quotient space $\Gamma\setminus G$ of a simply connected nilpotent Lie group $G$, where $\Gamma$ is a discrete group acting properly discontinuously and cocompactly on~$G$ via so called affine maps. The manifold $\Gamma\setminus G$ is said to be modeled on the Lie group~$G$. This class of manifolds is conjectured to be the only class of closed manifolds allowing an Anosov diffeomorphism. However, it is far from obvious which of these infra-nilmanifolds actually do admit an Anosov diffeomorphism. In this paper we completely solve this question for infra-nilmanifolds modeled on a free $c$-step nilpotent Lie group.
• Dostępność obiektu:
  Dostęp otwarty
• Prawa:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Data:
  2015.09.01
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  angielski
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 165 - 189;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.042/7205
• Temat i słowa kluczowe:
  Anosov diffeomorphism;
  infra-nilmanifold;
  freenilpotent Lie group;
  37D20;
  22E25;
  17B30
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.042
• Dostawca danych:
  Akademicka Platforma Czasopism
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