Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11406
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. | URI: | https://hdl.handle.net/10316/11406 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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