Half-flat nilmanifolds

Details Half-flat nilmanifolds Half-flat nilmanifolds

2009-03-06

arxiv.org/abs/0903.1175v3

Mathematische Annalen, 2011, 350(1):155-168

Mathematics

Differential Geometry

14 pages; v2: corrected equation in introduction; added solvable example; rearranged contents of Proposition 3 and Lemma 4; v3

Scientific paper

10.1007/s00208-010-0535-1

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.

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