Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation

Wojciech Domitrz

Banach Center Publications (2008)

  • Volume: 82, Issue: 1, page 45-53
  • ISSN: 0137-6934

Abstract

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We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.

How to cite

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Wojciech Domitrz. "Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation." Banach Center Publications 82.1 (2008): 45-53. <http://eudml.org/doc/281603>.

@article{WojciechDomitrz2008,
abstract = {We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.},
author = {Wojciech Domitrz},
journal = {Banach Center Publications},
keywords = {locally conformal symplectic manifolds; symplectic reduction; de Rham cohomology},
language = {eng},
number = {1},
pages = {45-53},
title = {Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation},
url = {http://eudml.org/doc/281603},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Wojciech Domitrz
TI - Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 45
EP - 53
AB - We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.
LA - eng
KW - locally conformal symplectic manifolds; symplectic reduction; de Rham cohomology
UR - http://eudml.org/doc/281603
ER -

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