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Harmonic structures and intrinsic torsion

We discuss the construction of Sp(2)Sp(1)-structures whose fundamental form is closed. In particular, we find 10 new examples of 8-dimensional nilmanifolds that admit an invariant closed 4-form with stabiliser Sp(2)Sp(1). Our constructions entail the notion of SO(4)-structures on 7-manifolds. We present a thorough investigation of the intrinsic torsion of such structures, leading to the construction of explicit Lie group examples with invariant intrinsic torsion.

preprint2014arXivOpen access
Diego ContiThomas Bruun Madsen
math.DG
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Open access2 authors1 topic
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Diego ContiThomas Bruun Madsen

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