Description

• Title:
  Cohomological decomposition of complex nilmanifolds
• Creator:
  Latorre, Adela;
  Ugarte, Luis
• Description:
  We study \emph{pureness} and \emph{fullness} of invariant complex structures on nilmanifolds. We prove that in dimension six, apart from the complex torus, there exist only two non-isomorphic complex structures satisfying both properties, which live on the real nilmanifold underlying the Iwasawa manifold. We also show that the product of two almost complex manifolds which are pure and full is not necessarily full.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 1 (March 2015); 215 - 232;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.011/5346
• Subject:
  Cohomology;
  complex structure;
  nilmanifold;
  32G05;
  53C15;
  53C56;
  57S25;
  22E25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other