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arXiv · 1110.5605

Multisymplectic 3-forms on 7-dimensional manifolds

Tomáš Salač
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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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Tomáš Salač. 2018-02-16. Multisymplectic 3-forms on 7-dimensional manifolds. https://doi.org/10.1016/j.difgeo.2018.01.004

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