Dirac-Nijenhuis structures

We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structure and admitting a deformation by Nijenhuis operators which is compatible with it. This concept generalizes the notion of Poisson-Nijenhuis structure and can be adapted to include the Jacobi-Nijenhuis c...

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Detalhes bibliográficos
Autor principal: Clemente-Gallardo, J. (author)
Outros Autores: Costa, J. M. Nunes da (author)
Formato: other
Idioma:eng
Publicado em: 2003
Assuntos:
Texto completo:http://hdl.handle.net/10316/11433
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11433
Descrição
Resumo:We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structure and admitting a deformation by Nijenhuis operators which is compatible with it. This concept generalizes the notion of Poisson-Nijenhuis structure and can be adapted to include the Jacobi-Nijenhuis case.