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Title: Jacobi manifolds, Dirac structures and Nijenhuis operators
Authors: Clemente-Gallardo, J. 
Costa, J. M. Nunes da 
Keywords: Jacobi manifold; Nijenhuis operator; generalized Courant algebroid; Jacobi-Nijenhuis manifold
Issue Date: 2004
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 04-30 (2004)
Abstract: In a recent paper [2], we studied the concept of Dirac-Nijenhuis structures. We de ned them as deformations of the canonical Lie algebroid structure of a Dirac bundle D de ned in the double of a Lie bialgebroid (A;A¤) which satisfy certain properties. In this paper, we introduce the concept of generalized Dirac- Nijenhuis structures as the natural analogue when we replace the double of the Lie bialgebroid by the double of a generalized Lie bialgebroid. We also show the usefulness of the concept by proving that a Jacobi-Nijenhuis manifold has an associated generalized Dirac-Nijenhuis structure of a certain type.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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