Geometry and representation of the singular symplectic forms
Wojciech Domitrz, Stanisław Janeczko, Zbigniew Pasternak-Winiarski (2003)
Banach Center Publications
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In this paper we show to what extent the closed, singular 2-forms are represented, up to the smooth equivalence, by their restrictions to the corresponding singularity set. In the normalization procedure of the singularity set we find the sufficient conditions for the given closed 2-form to be a pullback of the classical Darboux form. We also find the classification list of simple singularities of the maximal isotropic submanifold-germs in the codimension one Martinet's singular symplectic...