Article Contents
Article Contents

Dirac pairs

• We extend the definition of the Nijenhuis torsion of an endomorphism of a Lie algebroid to that of a relation, and we prove that the torsion of the relation defined by a bi-Hamiltonian structure vanishes. Following Gelfand and Dorfman, we then define Dirac pairs, and we analyze the relationship of this general notion with the various kinds of compatible structures on manifolds, more generally, on Lie algebroids.
Mathematics Subject Classification: Primary: 17B63, 53D17; Secondary: 18B10, 70G45.

 Citation:

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