Formes normales de structures de Poisson ayant un 1-jet nul en un point

J. P. Dufour; A. Wade

doi:10.1016/S0393-0440(97)00039-9

Formes normales de structures de Poisson ayant un 1-jet nul en un point

J. P. Dufour, A. Wade

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Singularities of Poisson structures where 1-jet vanishes appear in a stable manner because they are genetically not destroyed by small perturbations of the Poisson structure. In this paper we study these singularities. We give first a normal form for Poisson structures with zero 1-jet but with a "generic" 2-jet at a point. We give also a "quadratisation" result in class C^∞.

Original language	French
Pages (from-to)	79-96
Number of pages	18
Journal	Journal of Geometry and Physics
Volume	26
Issue number	1-2
DOIs	https://doi.org/10.1016/S0393-0440(97)00039-9
State	Published - Jun 1998

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

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10.1016/S0393-0440(97)00039-9

Cite this

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title = "Formes normales de structures de Poisson ayant un 1-jet nul en un point",

abstract = "Singularities of Poisson structures where 1-jet vanishes appear in a stable manner because they are genetically not destroyed by small perturbations of the Poisson structure. In this paper we study these singularities. We give first a normal form for Poisson structures with zero 1-jet but with a {"}generic{"} 2-jet at a point. We give also a {"}quadratisation{"} result in class C∞.",

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AU - Dufour, J. P.

AU - Wade, A.

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N2 - Singularities of Poisson structures where 1-jet vanishes appear in a stable manner because they are genetically not destroyed by small perturbations of the Poisson structure. In this paper we study these singularities. We give first a normal form for Poisson structures with zero 1-jet but with a "generic" 2-jet at a point. We give also a "quadratisation" result in class C∞.

AB - Singularities of Poisson structures where 1-jet vanishes appear in a stable manner because they are genetically not destroyed by small perturbations of the Poisson structure. In this paper we study these singularities. We give first a normal form for Poisson structures with zero 1-jet but with a "generic" 2-jet at a point. We give also a "quadratisation" result in class C∞.

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EP - 96

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1-2

ER -

Formes normales de structures de Poisson ayant un 1-jet nul en un point

Abstract

All Science Journal Classification (ASJC) codes

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