LA-Courant algebroids and their applications

Details LA-Courant algebroids and their applications LA-Courant algebroids and their applications

2012-04-12

arxiv.org/abs/1204.2796v1

Mathematics

Differential Geometry

137 Pages, 5 figures, phd thesis

Scientific paper

In this thesis we develop the notion of LA-Courant algebroids, the infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the integration of q- Poisson (d, g)-structures, and the reduction of Courant algebroids. We also introduce the notion of pseudo-Dirac structures, (possibly non-Lagrangian) subbundles W \subseteq E of a Courant algebroid such that the Courant bracket endows W naturally with the structure of a Lie algebroid. Specific examples of pseudo-Dirac structures arise in the theory of q-Poisson (d, g)-structures.

Affiliated with

Also associated with

No associations

Rating

LA-Courant algebroids and their applications 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 LA-Courant algebroids and their applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and LA-Courant algebroids and their applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313210