Unified treatment of multisymplectic 3-forms in dimension 6

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 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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