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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.
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 -