Reduction of metric structures on Courant algebroids
Differential Geometry
2012-03-05 v1 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1203.0497,
title = {Reduction of metric structures on Courant algebroids},
author = {Gil R. Cavalcanti},
journal= {arXiv preprint arXiv:1203.0497},
year = {2012}
}
Comments
22 pages, 3 figures