Almost Lie Algebroids and Characteristic Classes
Differential Geometry
2019-03-21 v2
Abstract
Almost Lie algebroids are generalizations of Lie algebroids, when the Jacobiator is not necessary null. A simple example is given, for which a Lie algebroid bracket or a Courant bundle is not possible for the given anchor, but a natural extension of the bundle and the new anchor allows a Lie algebroid bracket. A cohomology and related characteristic classes of an almost Lie algebroid are also constructed. We prove that these characteristic classes are all pull-backs of the characteristic classes of the base space, as in the case of a Lie algebroid.
Cite
@article{arxiv.1808.03116,
title = {Almost Lie Algebroids and Characteristic Classes},
author = {Marcela Popescu and Paul Popescu},
journal= {arXiv preprint arXiv:1808.03116},
year = {2019}
}