Homogeneous Cartan Geometries
微分几何
2011-05-27 v3
摘要
We describe invariant principal and Cartan connections on homogeneous principal bundles and show how to calculate the curvature and the holonomy; in the case of an invariant Cartan connection we give a formula for the infinitesimal automorphisms. The main result of this paper is that the above calculations are purely algorithmic. As an example of an homogeneous parabolic geometry we treat a conformal structure on the product of two spheres.
引用
@article{arxiv.math/0703627,
title = {Homogeneous Cartan Geometries},
author = {Matthias Hammerl},
journal= {arXiv preprint arXiv:math/0703627},
year = {2011}
}