On types of non-integrable geometries

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dc.creatorFriedrich, Thomas
dc.date2002-05-14
dc.date.accessioned2026-07-07T04:48:29Z
dc.date.available2026-07-07T04:48:29Z
dc.descriptionWe study the types of non-integrable $\mathrm{G}$-structures on Riemannian manifolds. In particular, geometric types admitting a connection with totally skew-symmetric torsion are characterized. 8-dimensional manifolds equipped with a $\Spin(7)$-structure play a special role. Any geometry of that type admits a unique connection with totally skew-symmetric torsion. Under weak conditions on the structure group we prove that this geometry is the only one with this property. Finally, we discuss the automorphism group of a Riemannian manifold with a fixed non-integrable $\mathrm{G}$-structure.
dc.descriptionLatex2.09, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0205149
dc.identifierhttp://arxiv.org/abs/math/0205149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64066
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C25, 81T30
dc.titleOn types of non-integrable geometries
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