On generalized K\"ahler geometry on compact Lie groups

Shengda Hu

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arXiv · 1501.00754

On generalized K\"ahler geometry on compact Lie groups

Shengda Hu

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Abstract

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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Shengda Hu. 2015-01-05. On generalized K\"ahler geometry on compact Lie groups. https://arxiv.org/abs/1501.00754

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