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

• Autorzy: S. Zakrzewski
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 51
• Numer: 1
• Strony: 11-13

Daty

wydano

2000

Twórcy

autor

S. Zakrzewski

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

Bibliografia

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