Classification of \(b^m\)-Nambu structures of top degree
type: Item
instance of: scholarly article
title: Classification of \(b^m\)-Nambu structures of top degree
zbMATH Open document ID: 1388.53093
author: Eva Miranda
author: Arnau Planas
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2018-03-12T00:00:00Z
review text: This paper gives a classification of \(b^m\) Nambu structures via \(b^m\)-cohomology. Let us recall that a \(b\)-manifold is an even-dimensional Poisson manifold with transversality condition. When the transversality condition is relaxed in a way such that the critical hypersurface is still a smooth manifold, we obtain a \(b^m\) Poisson manifold. In this work, the authors generalize the \(b\)-setting to the Nambu world and classify the corresponding structures. In particular, they prove an extension of Moser's classification theorem. Moreover, a geometrical interpretation to the Mazzeo-Melrose decomposition theorem is obtained.
reviewed by: Angela Gammella-Mathieu
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 58A10
zbMATH DE Number: 6849175
zbMATH Keywords: Nambu structures
zbMATH Keywords: complex of \(b^m\)-forms
zbMATH Keywords: Mazzeo-Melrose-type formula
MaRDI profile type: Publication
full work available at URL: j.crma.2017.12.009
OpenAlex ID: W2779452608
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DOI: 10.1016/J.CRMA.2017.12.009
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description: scientific article; zbMATH DE number 6849175