Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4623
Title: | Reduction of Jacobi manifolds via Dirac structures theory | Authors: | Petalidou, Fani Costa, Joana M. Nunes da |
Keywords: | Dirac structures; Generalized Lie bialgebroids; Generalized Courant algebroids; Jacobi manifolds; Reduction | Issue Date: | 2005 | Citation: | Differential Geometry and its Applications. 23:3 (2005) 282-304 | Abstract: | We first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bialgebroids, generalized Courant algebroids and Dirac structures. We establish an one-one correspondence between reducible Dirac structures of the generalized Lie bialgebroid of a Jacobi manifold (M,[Lambda],E) for which 1 is an admissible function and Jacobi quotient manifolds of M. We study Jacobi reductions from the point of view of Dirac structures theory and we present some examples and applications. | URI: | https://hdl.handle.net/10316/4623 | DOI: | 10.1016/j.difgeo.2005.06.003 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
fileea0ba9223e4a4f98b6c9ecf425ba7180.pdf | 287.44 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.