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math.SG2001★ 5 cited
A Generalization of Poisson-Nijenhuis Structures
Aïssa Wade
We generalize Poisson-Nijenhuis structures. We prove that on a manifold endowed with a Nijenhuis tensor and a Jacobi structure which are compatible, there is a hierarchy of pairwis…
math.SG2001★ 49 cited
Conformal Dirac Structures
Aïssa Wade
The Courant bracket defined originally on the sections of the vector bundle is extended to the direct sum of the 1-jet vector bundle and its dual. The extend…