English

Morphisms of Cartan connections

Differential Geometry 2010-09-29 v3

Abstract

We define what we call morphisms of Cartan connections. We generalize the main theorems on Cartan connections to theorems on morphisms. Many of the known constructions involving Cartan connections turn out to be examples of morphisms. We prove some basic results concerning completeness of Cartan connections. We provide a new method to prove completeness of Cartan connections using families of morphisms.

Keywords

Cite

@article{arxiv.0802.1473,
  title  = {Morphisms of Cartan connections},
  author = {Benjamin McKay},
  journal= {arXiv preprint arXiv:0802.1473},
  year   = {2010}
}

Comments

61 pages

R2 v1 2026-06-21T10:11:34.373Z