Generalized PN manifolds and separation of variables

Fernand Pelletier, and Patrick Cabau. "Generalized PN manifolds and separation of variables." Banach Center Publications 82.1 (2008): 163-181. <http://eudml.org/doc/282323>.

@article{FernandPelletier2008,
abstract = {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.},
author = {Fernand Pelletier, Patrick Cabau},
journal = {Banach Center Publications},
keywords = {bihamiltonian structures; integrable systems; PN manifold; recursion operator; separation of variables; bi-abelian algebra; momentum map; singularities; stratifications},
language = {eng},
number = {1},
pages = {163-181},
title = {Generalized PN manifolds and separation of variables},
url = {http://eudml.org/doc/282323},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Fernand Pelletier
AU - Patrick Cabau
TI - Generalized PN manifolds and separation of variables
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 163
EP - 181
AB - 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.
LA - eng
KW - bihamiltonian structures; integrable systems; PN manifold; recursion operator; separation of variables; bi-abelian algebra; momentum map; singularities; stratifications
UR - http://eudml.org/doc/282323
ER -