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Multisymplectic forms of degree three in dimension seven

Bureš, Jarolím, Vanžura, Jiří (2003)

Proceedings of the 22nd Winter School "Geometry and Physics"

A multisymplectic 3-structure on an n -dimensional manifold M is given by a closed smooth 3-form ω of maximal rank on M which is of the same algebraic type at each point of M , i.e. they belong to the same orbit under the action of the group G L ( n , ) . This means that for each point x M the form ω x is isomorphic to a chosen canonical 3-form on n . R. Westwick [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and D. Ž. Djoković [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained...

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