Conditions for integrability of a 3-form

Jiří Vanžura

Address: Academy of Sciences of the Czech Republic, Mathematical Institute, branch Brno, Žižkova 22, 616 62 Brno, Czech Republic

E-mail: vanzura@ipm.cz

Abstract: We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.

AMSclassification: primary 37J30; secondary 53C10.

Keywords: multisymplectic 3-form, 6-dimensional manifold, integrability.

DOI: 10.5817/AM2017-5-371