FOLIATIONS ASSOCIATED TO REGULAR POISSON STRUCTURES-Reference-Cited by-同舟云学术

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FOLIATIONS ASSOCIATED TO REGULAR POISSON STRUCTURES

Published:2001-08 Issue:03 Volume:03 Page:441-456
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BERTELSON MÉLANIE¹

Affiliation:

1. Max-Planck-Institut für Mathematik, D-53111 Bonn, Germany

Abstract

A regular Poisson manifold can be described as a foliated space carrying a tangentially symplectic form. Examples of foliations are produced here that are not induced by any Poisson structure although all the basic obstructions vanish.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199701000445

Reference5 articles.

1. Closed forms on symplectic fibre bundles

2. The Seiberg-Witten invariants and symplectic forms

3. Poisson geometry

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1. Existence of conformal symplectic foliations on closed manifolds;Mathematische Annalen;2024-02-03

2. Poisson structures on closed manifolds;Topological Methods in Nonlinear Analysis;2018-02-12

3. Codimension-one foliations calibrated by nondegenerate closed 2-forms;Pacific Journal of Mathematics;2013-02-28

4. Codimension one symplectic foliations and regular Poisson structures;Bulletin of the Brazilian Mathematical Society, New Series;2011-12

5. Remarks on a Künneth formula for foliated de Rham cohomology;Pacific Journal of Mathematics;2011-10-29

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