Conditions for integrability of a 3-form

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Article

Conditions for integrability of a 3-form. (English). Archivum Mathematicum, vol. 53 (2017), issue 5, pp. 371-380

MSC: 37J30, 53C10 | MR 3746070 | Zbl 06861563 | DOI: 10.5817/AM2017-5-371

Keywords:
multisymplectic 3-form; 6-dimensional manifold; integrability

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

References:

[1] Djoković, D.Ž.: Classification of trivectors of an eight-dimensional real vector space. Linear and Multilinear Algebra 13 (1) (1983), 3–39. DOI 10.1080/03081088308817501 | MR 0691457 | Zbl 0515.15011

[2] Kobayashi, S., Nomizu, K.: Foundations of differential geometry I. Interscience (Wiley), New York, 1963. MR 0152974 | Zbl 0119.37502

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