Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous Cartan Geometries   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.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph