Generalized PN manifolds and separation of variables
Volume 82 / 2008
Banach Center Publications 82 (2008), 163-181
MSC: 37J05, 37J15, 37J20, 53B50, 53D05, 53D17, 53Z05, 53Z20.
DOI: 10.4064/bc82-0-12
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.
