Lifting SU(3)-structures to nearly parallel G_{2}-structures

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dc.creatorStock, Sebastian
dc.date2007-07-13
dc.date.accessioned2026-07-07T08:17:37Z
dc.date.available2026-07-07T08:17:37Z
dc.descriptionHitchin shows that half-flat SU(3)-structures on a 6-dimensional manifold M can be lifted to parallel G_{2}-structure on the product $M\times\mathbb{R}$. We show that Hitchin's approach can also be used to construct nearly parallel G_{2}-structures by lifting so-called nearly half-flat structures. These SU(3)-structures are described by pairs $(ω,ϕ)$ of stable 2- and 3-forms with $dϕ=λω^{2}$ for some $λ\in\mathbb{R}\setminus\{0\}$.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0707.2029
dc.identifierhttp://arxiv.org/abs/0707.2029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134150
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C10
dc.titleLifting SU(3)-structures to nearly parallel G_{2}-structures
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