Hierarchies and compatibility on Courant algebroids

Details Hierarchies and compatibility on Courant algebroids Hierarchies and compatibility on Courant algebroids

2011-11-03

arxiv.org/abs/1111.0800v2

Mathematics

Differential Geometry

Scientific paper

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 \oplus T^*M $ 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.

Affiliated with

Also associated with

No associations

Rating

Hierarchies and compatibility on Courant algebroids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hierarchies and compatibility on Courant algebroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchies and compatibility on Courant algebroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701798