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 |
SCOPUSTM
Citations
2
checked on Apr 22, 2024
WEB OF SCIENCETM
Citations
2
checked on Apr 2, 2024
Page view(s) 50
456
checked on Apr 23, 2024
Download(s) 50
356
checked on Apr 23, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.