Half-flat nilmanifolds
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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