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Multisymplectic 3-forms on 7-dimensional manifolds (1110.5605v8)
Published 25 Oct 2011 in math.KT
Abstract: The goal of the paper is to give characterization of closed connected manifolds which admit a global multisympletic 3-form of some algebraic type. A generic type of such 3-form is equivalent to a G2-structure. This is the most interesting case and was solved in [Gr]. Some other algebraic types were solved quite recently. In this paper we give characterization in the remaining cases.
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