Reduction of metric structures on Courant algebroids

Details Reduction of metric structures on Courant algebroids Reduction of metric structures on Courant algebroids

2012-03-02

arxiv.org/abs/1203.0497v1

J. Symplectic Geom. 4 (2006), No. 3, 317-343

Mathematics

Differential Geometry

22 pages, 3 figures

Scientific paper

We use the procedure of reduction of Courant algebroids to reduce strong KT, hyper KT and generalized Kaehler structures on Courant algebroids. This allows us to recover results from the literature as well as explain from a different angle some of the features observed there in. As an example, we prove that the moduli space of instantons of a bundle over a SKT/HKT/generalized K\"ahler manifold is endowed with the same type of structure as the original manifold.

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