Article ID Journal Published Year Pages File Type
4661290 Topology and its Applications 2007 7 Pages PDF
Abstract

We prove that no nilpotent Lie algebra admits an invariant generalized Kähler structure. This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kähler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology