Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11347
Title: | Twisted Jacobi manifolds, twisted Dirac-Jacobi structures and quasi-Jacobi bialgebroids | Authors: | Costa, J. M. Nunes da Petalidou, F. |
Keywords: | Twisted Jacobi manifold; Twisted Dirac-Jacobi structure; Jacobi bialgebroid; Courant-Jacobi algebroid; Quasi-Jacobi bialgebroid | Issue Date: | 2006 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 06-19 (2006) | Abstract: | We study twisted Jacobi manifolds, a concept that we had introduced in a previous Note. Twisted Jacobi manifolds can be characterized using twisted Dirac-Jacobi, which are sub-bundles of Courant-Jacobi algebroids. We show that each twisted Jacobi manifold has an associated Lie algebroid with a 1-cocycle. We introduce the notion of quasi-Jacobi bialgebroid and we prove that each twisted Jacobi manifold has a quasi-Jacobi bialgebroid canonically associated. Moreover, the double of a quasi-Jacobi bialgebroid is a Courant-Jacobi algebroid. Several examples of twisted Jacobi manifolds and twisted Dirac-Jacobi structures are presented. | URI: | https://hdl.handle.net/10316/11347 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Twisted Jacobi manifolds, twisted Dirac-Jacobi structures.pdf | 298.07 kB | Adobe PDF | View/Open |
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