E-Courant algebroids
Differential Geometry
2011-02-09 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper, we introduce the notion of -Courant algebroids, where is a vector bundle. It is a kind of generalized Courant algebroid and contains Courant algebroids, Courant-Jacobi algebroids and omni-Lie algebroids as its special cases. We explore novel phenomena exhibited by -Courant algebroids and provide many examples. We study the automorphism groups of omni-Lie algebroids and classify the isomorphism classes of exact -Courant algebroids. In addition, we introduce the concepts of -Lie bialgebroids and Manin triples.
Cite
@article{arxiv.0805.4093,
title = {E-Courant algebroids},
author = {Zhuo Chen and Zhangju Liu and Yunhe Sheng},
journal= {arXiv preprint arXiv:0805.4093},
year = {2011}
}
Comments
29 pages, no figure