• Corpus ID: 119587227

On generalized K\"ahler geometry on compact Lie groups

  title={On generalized K\"ahler geometry on compact Lie groups},
  author={Shengda Hu},
  journal={arXiv: Differential Geometry},
  • Shengda Hu
  • Published 5 January 2015
  • Mathematics
  • arXiv: Differential Geometry
We present some fundamental facts about a class of generalized K\"ahler structures defined by invariant complex structures on compact Lie groups. The main computational tool is the BH-to-GK spectral sequences that relate the bi-Hermitian data to generalized geometry data. The relationship between generalized Hodge decomposition and generalized canonical bundles for generalized K\"ahler manifolds is also clarified. 
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