$G_2$-Manifolds With Parallel Characteristic Torsion

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dc.creatorFriedrich, Thomas
dc.date2006-04-20
dc.date.accessioned2026-07-07T07:11:07Z
dc.date.available2026-07-07T07:11:07Z
dc.descriptionWe classify 7-dimensional cocalibrated $\G_2$-manifolds with parallel characteristic torsion and non-abelian holonomy. All these spaces admit a metric connection $\nabla^{\mathrm{c}}$ with totally skew-symmetric torsion and a spinor field $Ψ_1$ solving the equations in the common sector of type II superstring theory. There exist $\G_2$-structures with parallel characteristic torsion that are not naturally reductive.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0604441
dc.identifierhttp://arxiv.org/abs/math/0604441
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111636
dc.subjectDifferential Geometry
dc.subject53C25; 81T30
dc.title$G_2$-Manifolds With Parallel Characteristic Torsion
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