Homogeneous Cartan geometries
Hammerl, Matthias
Archivum Mathematicum, Tome 043 (2007), p. 431-442 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2007-01-01
Classification:  53A30,  53B15,  53C29,  53C30,  53Cxx 
@article{108082,
     author = {Matthias Hammerl},
     title = {Homogeneous Cartan geometries},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {431-442},
     zbl = {1199.53021},
     mrnumber = {2381786},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108082}
}

Hammerl, Matthias. Homogeneous Cartan geometries. Archivum Mathematicum, Tome 043 (2007) pp. 431-442. http://gdmltest.u-ga.fr/item/108082/

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