Multisymplectic 3-forms on 7-dimensional manifolds

Details Multisymplectic 3-forms on 7-dimensional manifolds Multisymplectic 3-forms on 7-dimensional manifolds

2011-10-25

arxiv.org/abs/1110.5605v2

Mathematics

K-Theory and Homology

Scientific paper

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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