2007/03/21 by Matthias Hammerl, Hammerl, Matthias
Mathematics · #53A30 #53B15 #53C29 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A30 #msc:53B15 #msc:53C29 #msc:53C30
paper · pdf · doi:10.48550/arxiv.math/0703627
arxiv created 2011/05/26 · arxiv updated 2011/05/27
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.