Mathematics – Differential Geometry
Scientific paper
2006-03-25
Topology Appl., 154, 1119--1125, 2007
Mathematics
Differential Geometry
7 pages; v2 is mildly rephrased. To appear in Topology Appl
Scientific paper
10.1016/j.topol.2006.11.002
We prove that no nilpotent Lie algebra admits an invariant generalized
Kaehler structure. This is done by showing that a certain differential graded
algebra associated to a generalized complex manifold is formal in the
generalized Kaehler case, while it is never formal for a generalized complex
structure on a nilpotent Lie algebra.
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