Simultaneous local classification of two compatible symplectic forms
type: Item
instance of: scholarly article
title: Simultaneous local classification of two compatible symplectic forms
zbMATH Open document ID: 0807.53028
DOI: 10.1007/BF02567706
published in: Manuscripta Mathematica
publication date: 1994-05-24T00:00:00Z
full work available at URL: https://eudml.org/doc/155936
review text: Consider a symplectic form \(\omega\) and a closed 2-form \(\omega_ 1\) on a real or complex manifold. Supposing that Nijenhuis torsion of the tensor field \(J\) defined by \(\omega_ 1 (X,Y) = \omega (JX,Y)\) vanishes, one gives the complete local classification of the \(\{\omega, \omega_ 1\}\) on a dense open set with some conditions of regularity. Each regular point of this set has a neighborhood such that it is possible to find coordinates in order to write \(\omega\) with constant coefficients and \(\omega_ 1\) with affine ones.
reviewed by: G.V.Khmelevskaja-Plotnikova
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 572232
zbMATH Keywords: compatible symplectic forms
zbMATH Keywords: closed forms
zbMATH Keywords: symplectic form
zbMATH Keywords: complex manifold
zbMATH Keywords: Nijenhuis torsion
author: Francisco-Javier Turiel
MaRDI profile type: Publication
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OpenAlex ID: W2019353315
description: scientific article; zbMATH DE number 572232