On generalized K\"ahler geometry on compact Lie groups
Differential Geometry
2015-01-06 v1
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.
Cite
@article{arxiv.1501.00754,
title = {On generalized K\"ahler geometry on compact Lie groups},
author = {Shengda Hu},
journal= {arXiv preprint arXiv:1501.00754},
year = {2015}
}
Comments
28 pages, LaTeX2e