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Half-flat nilmanifolds

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.

3 nodes2 linksoverview previewHalf-flat nilmanifolds
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Half-flat nilmanifolds3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWHalf-flat nilmanifoldspreprint / 2010ADiego ContiResearcherTmath.DG4490 works
PaperSignal 102 links

Half-flat nilmanifolds

preprint / 2010

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