Geodesic
Homogeneous Cartan geometries
Archivum mathematicum, Tome 43 (2007) no. 5, pp. 431-442.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 53A30, 53B15, 53C29, 53C30, 53Cxx
Keywords: Cartan geometry; homogeneous space; infinitesimal automorphism; holonomy; conformal geometry 
@article{ARM_2007__43_5_a7,
     author = {Hammerl, Matthias},
     title = {Homogeneous {Cartan} geometries},
     journal = {Archivum mathematicum},
     pages = {431--442},
     publisher = {mathdoc},
     volume = {43},
     number = {5},
     year = {2007},
     mrnumber = {2381786},
     zbl = {1199.53021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a7/}
}
TY  - JOUR
AU  - Hammerl, Matthias
TI  - Homogeneous Cartan geometries
JO  - Archivum mathematicum
PY  - 2007
SP  - 431
EP  - 442
VL  - 43
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a7/
LA  - en
ID  - ARM_2007__43_5_a7
ER  - 
%0 Journal Article
%A Hammerl, Matthias
%T Homogeneous Cartan geometries
%J Archivum mathematicum
%D 2007
%P 431-442
%V 43
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a7/
%G en
%F ARM_2007__43_5_a7
Hammerl, Matthias. Homogeneous Cartan geometries. Archivum mathematicum, Tome 43 (2007) no. 5, pp. 431-442. http://geodesic.mathdoc.fr/item/ARM_2007__43_5_a7/