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arxiv: 1003.0373 · v1 · pith:LJFAMQ3Hnew · submitted 2010-03-01 · 🧮 math.DG · math.SG

On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms

classification 🧮 math.DG math.SG
keywords algebroidcourant-jacobijacobiassociatedbialgebroidmorphismmorphismsquasi-jacobi
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We propose a definition of Jacobi quasi-Nijenhuis algebroid and show that any such Jacobi algebroid has an associated quasi-Jacobi bialgebroid. Therefore, also an associated Courant-Jacobi algebroid is obtained. We introduce the notions of quasi-Jacobi bialgebroid morphism and Courant-Jacobi algebroid morphism providing also some examples of Courant-Jacobi algebroid morphisms.

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