Half-flat nilmanifolds

Diego Conti

Half-flat nilmanifolds

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arxiv 0903.1175 v3 pith:CIUYMVJM submitted 2009-03-06 math.DG

Diego Conti This is my paper · ORCID

classification math.DG

keywords half-flatnilmanifoldsstructurealgebrasassociatedcarryingcertainclassification

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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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