Lie Algebroids and Classification Problems in Geometry
Differential Geometry
2008-07-25 v2
Abstract
We show how one can associate to a given class of finite type G-structures a classifying Lie algebroid. The corresponding Lie groupoid gives models for the different geometries that one can find in the class, and encodes also the different types of symmetry groups.
Cite
@article{arxiv.0712.3198,
title = {Lie Algebroids and Classification Problems in Geometry},
author = {Rui Loja Fernandes and Ivan Struchiner},
journal= {arXiv preprint arXiv:0712.3198},
year = {2008}
}
Comments
16 pages; research announcement; final version to appear in Sao Paulo Journal of Mathematical Sciences