Abstract
In this paper, for a Jacobi algebroid , by introducing the notion of Jacobi quasi-Nijenhuis algebroids, which is a generalization of Poisson quasi-Nijenhuis manifolds introduced by Stiénon and Xu, we study generalized complex structures on the Courant-Jacobi algebroid , which unifies generalized complex (contact) structures on an even(odd)-dimensional manifold.
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