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arXiv · 2007.07187

Left invariant generalized complex and K\"ahler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies

Mohamed Boucetta·Mohammed Wadia Mansouri
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Abstract

We give a complete classification of left invariant generalized complex structures of type 1 on four dimensional simply connected Lie groups and we compute for each class its invariant generalized Dolbeault cohomology, its invariant generalized Bott-Chern cohomology and its invariant generalized Aeppli cohomology. We classify also left invariant generalized K\"ahler structures on four dimensional simply connected Lie groups.

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Mohamed Boucetta, Mohammed Wadia Mansouri. 2020-07-14. Left invariant generalized complex and K\"ahler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies. https://arxiv.org/abs/2007.07187

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