- We prove that no nilpotent Lie algebra admits an invariant generalized Kahler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra.
- Publication status:
- Peer review status:
- Peer reviewed
- Publisher's version
- Copyright holder:
- Elsevier B.V.
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- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
Formality in generalized Kähler geometry
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