Unified treatment of multisymplectic 3-forms in dimension 6

J. Bures; J. Vanzura

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Unified treatment of multisymplectic 3-forms in dimension 6

J. Bures·J. Vanzura

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Abstract

On a 6-dimensional real vector space $V$ there are three types of multisymplectic 3-forms. We present in this paper a unified treatment of these three types. Forms of each type represent a subset of $Λ^3 V^*$. In two cases they are open subsets, in the third one it is a submanifold of codimension 1. We study the geometry of these subsets.

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J. Bures, J. Vanzura. 2004-05-06. Unified treatment of multisymplectic 3-forms in dimension 6. https://arxiv.org/abs/math/0405101

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