- Abstract:
- 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:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
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(pdf, 138.7kb)
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- Publisher copy:
- 10.1016/j.topol.2006.11.002
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- Publisher:
- Elsevier Inc. Publisher's website
- Journal:
- Topology and its Applications Journal website
- Volume:
- 154
- Issue:
- 6
- Pages:
- 1119–1125
- Publication date:
- 2007-03-05
- DOI:
- ISSN:
-
0166-8641
- URN:
-
uuid:795e5d7e-3fd7-48ae-a104-5c7213683eec
- Local pid:
- ora:10772
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2006
- Notes:
- 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/
Journal article
Formality in generalized Kähler geometry
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Engineering and Physical Sciences Research Council
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