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.

Conti, D., Madsen, T. (2015). Harmonic structures and intrinsic torsion. TRANSFORMATION GROUPS, 20(3), 699-723 [10.1007/s00031-015-9325-x].

Harmonic structures and intrinsic torsion

CONTI, DIEGO
Primo
;
2015

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.
Articolo in rivista - Articolo scientifico
Quaternion-Kaehler, nilmanifold, intrinsic torsion
English
2015
20
3
699
723
partially_open
Conti, D., Madsen, T. (2015). Harmonic structures and intrinsic torsion. TRANSFORMATION GROUPS, 20(3), 699-723 [10.1007/s00031-015-9325-x].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/85931
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