English

Multisymplectic 3-forms on 7-dimensional manifolds

K-Theory and Homology 2018-02-19 v8

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.

Keywords

Cite

@article{arxiv.1110.5605,
  title  = {Multisymplectic 3-forms on 7-dimensional manifolds},
  author = {Tomáš Salač},
  journal= {arXiv preprint arXiv:1110.5605},
  year   = {2018}
}

Comments

revised version

R2 v1 2026-06-21T19:25:33.199Z