Generalized PN manifolds and separation of variables

• Autorzy: Fernand Pelletier , Patrick Cabau
• Języki publikacji: EN

Abstrakty

EN

The notion of generalized PN manifold is a framework which allows one to get properties of first integrals of the associated bihamiltonian system: conditions of existence of a bi-abelian subalgebra obtained from the momentum map and characterization of such an algebra linked with the problem of separation of variables.

Kategorie tematyczne

• 37J05: General theory, relations with symplectic geometry and topology
• 53D05: Symplectic manifolds, general
• 53D17: Poisson manifolds; Poisson groupoids and algebroids
• 37J20: Bifurcation problems
• 53Z05: Applications to physics
• 37J15: Symmetries, invariants, invariant manifolds, momentum maps, reduction
• 53B50: Applications to physics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 163-181

Daty

wydano

2008

Twórcy

autor

Fernand Pelletier

• LAMA, Université de Savoie, F-73376 Le Bourget-du-Lac Cedex, France

autor

Patrick Cabau

• LAMA, Université de Savoie, F-73376 Le Bourget-du-Lac Cedex, France

Identyfikatory

DOI

10.4064/bc82-0-12