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Half-flat nilmanifolds

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via Cozzi 53, 20125, Milan, Italy

    Diego Conti

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  1. Diego Conti
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Correspondence to Diego Conti.

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Conti, D. Half-flat nilmanifolds. Math. Ann. 350, 155–168 (2011). https://doi.org/10.1007/s00208-010-0535-1

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  • DOI: https://doi.org/10.1007/s00208-010-0535-1

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