Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	Hierarchies and compatibility on Courant algebroids
Publication Date:	2011-10-10
Authors:	- Paulo Antunes - Camille Laurent-Gengoux - Joana Margarida Nunes da Costa
Abstract:	We extend to the context of Courant algebroids several hierarchies that can be constructed on Poisson-Nijenhuis manifolds. More precisely, we introduce several notions (Poisson-Nijenhuis, deformation-Nijenhuis and Nijenhuis pairs) that extend to Courant algebroids the notion of a Poisson-Nijenhuis manifold, by using the idea that both the Poisson and the Nijenhuis structures, although they seem to be different in nature when considered on manifolds, are just (1,1)-tensors on the usual Courant algebroid TM⊕TM* satisfying several constraints. For each of the generalizations mentioned, we show that there are natural hierarchies obtained by successive deformation by one of the (1,1)-tensor.
Institution:	DMUC 11-29
Online version:	http://www.mat.uc.pt...prints/eng_2011.html
Download:	Not available