On generalized Lie bialgebroids and Jacobi groupoids

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On generalized Lie bialgebroids and Jacobi groupoids

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Title: On generalized Lie bialgebroids and Jacobi groupoids
Author: Das, Apurba
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.
URI: http://hdl.handle.net/10662/8979
Date: 2016


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