We discuss the construction of Sp(2) Sp(1)-structures whose fundamental form is closed. In particular, we fund 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.
Harmonic structures and intrinsic torsion
CONTI, DIEGO;
2015-01-01
Abstract
We discuss the construction of Sp(2) Sp(1)-structures whose fundamental form is closed. In particular, we fund 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.File in questo prodotto:
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