Formality in generalized Kahler geometry
Differential Geometry
2011-06-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0603596,
title = {Formality in generalized Kahler geometry},
author = {Gil R. Cavalcanti},
journal= {arXiv preprint arXiv:math/0603596},
year = {2011}
}
Comments
7 pages; v2 is mildly rephrased. To appear in Topology Appl