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arxiv: math/0202282 · v1 · submitted 2002-02-26 · 🧮 math.DG

The intrinsic torsion of SU(3) and G₂ structures

Simon Chiossi , Simon Salamon This is my paper
classification 🧮 math.DG
keywords structureintrinsicmanifoldtorsionanalysearisecomponentsexamples
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We analyse the relationship between the components of the intrinsic torsion of an SU(3) structure on a 6-manifold and a G_2 structure on a 7-manifold. Various examples illustrate the type of SU(3) structure that can arise as a reduction of a metric with holonomy G_2.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes

    hep-th 2026-05 unverdicted novelty 5.0

    G2 torsion classes characterize the torsion and supersymmetry breaking in an M-theory compactification on a deformed K3 fibration over a three-manifold, leading to Type 0A and Type 0 heterotic theories upon dimensiona...

  2. Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes

    hep-th 2026-05 unverdicted novelty 5.0

    Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.