Half-flat nilmanifolds
Differential Geometry
2011-04-01 v3
Abstract
We introduce a double complex that can be associated to certain Lie algebras, and show that its cohomology determines an obstruction to the existence of a half-flat SU(3)-structure. We obtain a classification of the 6-dimensional nilmanifolds carrying an invariant half-flat structure.
Cite
@article{arxiv.0903.1175,
title = {Half-flat nilmanifolds},
author = {Diego Conti},
journal= {arXiv preprint arXiv:0903.1175},
year = {2011}
}
Comments
14 pages; v2: corrected equation in introduction; added solvable example; rearranged contents of Proposition 3 and Lemma 4; v3: corrected typos, added remark about unimodular case