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arXiv · 1802.03196

The Classification Problem for 2-Forms in Four Variables

Jaime Muñoz Masqué·Luis Miguel Pozo Coronado
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Abstract

The notion of type of a differential 2-form in four variables is introduced and for 2-forms of type < 4, local normal models are given. If the type of a 2-form $\Omega$ is 4, then the equivalence under diffeomorphisms of $\Omega$ is reduced to the equivalence of a symplectic linear frame functorially attached to $\Omega$. As the equivalence problem for linear parallelisms is known, the present work solves generically the equivalence problem under diffeomorphisms of germs of 2-forms in 4 variables.

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Jaime Muñoz Masqué, Luis Miguel Pozo Coronado. 2018-02-09. The Classification Problem for 2-Forms in Four Variables. https://arxiv.org/abs/1802.03196

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