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September 2006 Reduction of metric structures on courant algebroids
Gil R. Cavalcanti
J. Symplectic Geom. 4(3): 317-343 (September 2006).

Abstract

We use the procedure of reduction of Courant algebroids introduced in [H. BURSZTYN, G. R. CAVALCANTI, and M. GUALTIERI, Reduction of Courant algebroids and generalized complex structures. Adv. Math.., 211, 2007] to reduce strong KT, hyper KT and generalized Kähler 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 therein. As an example, we prove that the moduli space of instantons of a bundle over an SKT/HKT/generalized Kähler manifold is endowed with the same type of structure as the original manifold.

Citation

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Gil R. Cavalcanti. "Reduction of metric structures on courant algebroids." J. Symplectic Geom. 4 (3) 317 - 343, September 2006.

Information

Published: September 2006
First available in Project Euclid: 25 May 2007

zbMATH: 1157.53324
MathSciNet: MR2314216

Rights: Copyright © 2006 International Press of Boston

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Vol.4 • No. 3 • September 2006
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