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ArticleOriginal scientific text

Title

Poisson structures on $ℝ^{2 N}$ having only two symplectic leaves: the origin and the rest

Authors ¹

Affiliations

Department of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Abstract

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

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