Foliated Moser's lemma and classifications of regular Poisson structures.

G. Héctor; E. Macías; M. Saralegui

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 3, page 423-430
  • ISSN: 0214-1493

Abstract

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Regular Poisson structures with fixed characteristic foliation F are described by means of foliated symplectic forms. Associated to each of these structures, there is a class in the second group of foliated cohomology H2(F). Using a foliated version of Moser's lemma, we study the isotopy classes of these structures in relation with their cohomology class. Explicit examples, with dim F = 2, are described.

How to cite

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Héctor, G., Macías, E., and Saralegui, M.. "Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.." Publicacions Matemàtiques 33.3 (1989): 423-430. <http://eudml.org/doc/41082>.

@article{Héctor1989,
author = {Héctor, G., Macías, E., Saralegui, M.},
journal = {Publicacions Matemàtiques},
keywords = {Grupos de cohomología; Variedades de Poisson; Variedad foliada; Foliación; Poisson manifolds; foliated cohomology; Moser's lemma; foliation of codimension 1},
language = {fre},
number = {3},
pages = {423-430},
title = {Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.},
url = {http://eudml.org/doc/41082},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Héctor, G.
AU - Macías, E.
AU - Saralegui, M.
TI - Lemme de Moser feuilleté et clasifications des variétés de Poisson régulières.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 3
SP - 423
EP - 430
LA - fre
KW - Grupos de cohomología; Variedades de Poisson; Variedad foliada; Foliación; Poisson manifolds; foliated cohomology; Moser's lemma; foliation of codimension 1
UR - http://eudml.org/doc/41082
ER -

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