Please use this identifier to cite or link to this item:
Title: On generalized Lie bialgebroids and Jacobi groupoids
Authors: Das, Apurba
Keywords: Jacobi manifolds;Coisotropic submanifolds;Lie bialgebroids;Jacobi groupoids
Issue Date: 2016
Publisher: Universidad de Extremadura
Abstract: Generalized Lie bialgebroids are generalization of Lie bialgebroids and arises naturally from Jacobi manifolds. It is known that the base of a generalized Lie bialgebroid carries a Jacobi structure. In this paper, we introduce a notion of morphism between generalized Lie bialgebroids over a same base and prove that the induce Jacobi structure on the base is unique up to a morphism. Next we give a characterization of generalized Lie bialgebroids and use it to show that generalized Lie bialgebroids are infinitesimal form of Jacobi groupoids. We also introduce coisotropic subgroupoids of a Jacobi groupoid and these subgroupoids corresponds to, so called coisotropic subalgebroids of the corresponding generalized Lie bialgebroid.
Appears in Collections:Extracta Mathematicae Vol. 31, nº 2 (2016)

Files in This Item:
File Description SizeFormat 
2605-5686_31_2_199.pdf196,61 kBAdobe PDFView/Open

This item is licensed under a Creative Commons License Creative Commons