Associative submanifolds of a G2 manifold

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dc.creatorAkbulut, Selman
dc.creatorSalur, Sema
dc.date2004-12-01
dc.date2005-05-02
dc.date.accessioned2026-07-07T05:14:53Z
dc.date.available2026-07-07T05:14:53Z
dc.descriptionWe study deformations of associative submanifolds $Y^3\subset M^7$ of a $G_2$ manifold $M^7$. We show that the deformation space can be perturbed to be smooth, and it can be made compact and zero dimensional by constraining it with an additional equation. This allows us to associate local invariants to associative submanifolds of $M$. The local equations at each associative $Y$ are restrictions of a global equation on a certain associated Grassmann bundle over $ M$.
dc.description16 pages, 2 figures, revised version
dc.identifierhttps://arxiv.org/abs/math/0412032
dc.identifierhttp://arxiv.org/abs/math/0412032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73452
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53C38, 53C29, 57R57
dc.titleAssociative submanifolds of a G2 manifold
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