<p>We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds.</p>

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Almost abelian complex nilmanifolds

  • Adrián Andrada,
  • Romina M. Arroyo,
  • María L. Barberis,
  • Sönke Rollenske,
  • Konstantin Wehler

摘要

We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds.