English

The Classifying Lie Algebroid of a Geometric Structure I: Classes of Coframes

Differential Geometry 2012-10-08 v2

Abstract

We present a systematic study of symmetries, invariants and moduli spaces of classes of coframes. We introduce a classifying Lie algebroid to give a complete description of the solution to Cartan's realization problem that applies to both the local and the global versions of this problem.

Keywords

Cite

@article{arxiv.1103.5850,
  title  = {The Classifying Lie Algebroid of a Geometric Structure I: Classes of Coframes},
  author = {Rui Loja Fernandes and Ivan Struchiner},
  journal= {arXiv preprint arXiv:1103.5850},
  year   = {2012}
}

Comments

Minor corrections; final version to appear in the Trans. of the AMS