On the automorphism group of a second order structure

Leonardo Biliotti

Homogeneous Cartan geometries

Matthias Hammerl (2007)

Archivum Mathematicum

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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.

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