Mathematics – Differential Geometry
Scientific paper
2005-09-27
Adv. Math., 211 (2), 2007, 726--765
Mathematics
Differential Geometry
34 pages. Presentation greatly improved, one subsection added, errors corrected, references added. v3: a few changes in the pr
Scientific paper
10.1016/j.aim.2006.09.008
We present a theory of reduction for Courant algebroids as well as Dirac structures, generalized complex, and generalized K\"ahler structures which interpolates between holomorphic reduction of complex manifolds and symplectic reduction. The enhanced symmetry group of a Courant algebroid leads us to define \emph{extended} actions and a generalized notion of moment map. Key examples of generalized K\"ahler reduced spaces include new explicit bi-Hermitian metrics on $\CC P^2$.
Bursztyn Henrique
Cavalcanti Gil R.
Gualtieri Marco
No associations
LandOfFree
Reduction of Courant algebroids and generalized complex structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Reduction of Courant algebroids and generalized complex structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduction of Courant algebroids and generalized complex structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-224803