Geometric structures underlying commutative and noncommutative integrable dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplectic structures is also discussed.
Non commutative integrability and Recursion operators
SPARANO, Giovanni;VILASI, Gaetano
2000-01-01
Abstract
Geometric structures underlying commutative and noncommutative integrable dynamics are analyzed. They lead to a new characterization of noncommutative integrability in terms of spectral properties and of Nijenhuis torsion of an invariant (1,1) tensor field. The construction of compatible symplectic structures is also discussed.File in questo prodotto:
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