6533b823fe1ef96bd127f214

RESEARCH PRODUCT

A new proof of the existence of hierarchies of Poisson-Nijenhuis structures

Juan Monterde

subject

Nonlinear Sciences::Exactly Solvable and Integrable SystemsMathematics::Differential GeometryMathematics::Symplectic GeometryMatemàtica

description

Given a Poisson-Nijenhuis manifold, a two-parameter family of Poisson- Nijenhuis structures can be defined. As a consequence we obtain a new and noninductive proof of the existence of hierarchies of Poisson-Nijenhuis structures.

https://hdl.handle.net/10550/71818