Corpus ID: 117593538

New aspects of the ddc-lemma

  title={New aspects of the ddc-lemma},
  author={Gil R. Cavalcanti},
  journal={arXiv: Differential Geometry},
  • G. Cavalcanti
  • Published 2005
  • Mathematics
  • arXiv: Differential Geometry
We produce examples of generalized complex structures on manifolds by generalizing results from symplectic and complex geometry. We produce generalized complex structures on symplectic fibrations over a generalized complex base. We study in some detail different invariant generalized complex structures on compact Lie groups and provide a thorough description of invariant structures on nilmanifolds, achieving a classification on 6-nilmanifolds. We study implications of the `dd^c-lemma' in the… Expand
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