Poisson structures on 2 N having only two symplectic leaves: the origin and the rest

S. Zakrzewski

Banach Center Publications (2000)

  • Volume: 51, Issue: 1, page 11-13
  • ISSN: 0137-6934

Abstract

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Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.

How to cite

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Zakrzewski, S.. "Poisson structures on $ℝ^{2N}$ having only two symplectic leaves: the origin and the rest." Banach Center Publications 51.1 (2000): 11-13. <http://eudml.org/doc/209023>.

@article{Zakrzewski2000,
abstract = {Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.},
author = {Zakrzewski, S.},
journal = {Banach Center Publications},
keywords = {-matrices; Poisson structures},
language = {eng},
number = {1},
pages = {11-13},
title = {Poisson structures on $ℝ^\{2N\}$ having only two symplectic leaves: the origin and the rest},
url = {http://eudml.org/doc/209023},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Zakrzewski, S.
TI - Poisson structures on $ℝ^{2N}$ having only two symplectic leaves: the origin and the rest
JO - Banach Center Publications
PY - 2000
VL - 51
IS - 1
SP - 11
EP - 13
AB - Examples of Poisson structures with isolated non-symplectic points are constructed from classical r-matrices.
LA - eng
KW - -matrices; Poisson structures
UR - http://eudml.org/doc/209023
ER -

References

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  1. [1] A. Weinstein, The modular automorphism group of a Poisson manifold, J. Geom. Phys. 23 (1997) 379-394. Zbl0902.58013
  2. [2] A. Weinstein, Poisson geometry, Diff. Geom. Appl. 9 (1998), 213-238. 
  3. [3] S. Zakrzewski, Phase spaces related to standard classical r-matrices, J. Phys. A: Math. Gen. 29 (1996), 1841-1857. Zbl0924.58023

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