Formality in generalized Kahler geometry

Mathematics – Differential Geometry

Scientific paper

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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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