Jacobi manifolds, Dirac structures and Nijenhuis operators
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 gener...
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| Formato: | other |
| Idioma: | eng |
| Publicado em: |
2004
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| Texto completo: | http://hdl.handle.net/10316/11406 |
| País: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/11406 |
| Resumo: | 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. |
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