Homogeneous Cartan geometries
Archivum Mathematicum (2007)
- Volume: 043, Issue: 5, page 431-442
- ISSN: 0044-8753
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topHammerl, Matthias. "Homogeneous Cartan geometries." Archivum Mathematicum 043.5 (2007): 431-442. <http://eudml.org/doc/250150>.
@article{Hammerl2007,
abstract = {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.},
author = {Hammerl, Matthias},
journal = {Archivum Mathematicum},
keywords = {Cartan geometry; homogeneous space; infinitesimal automorphism; holonomy; conformal geometry; Cartan geometry; homogeneous space; infinitesimal automorphism; holonomy; conformal geometry},
language = {eng},
number = {5},
pages = {431-442},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Homogeneous Cartan geometries},
url = {http://eudml.org/doc/250150},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Hammerl, Matthias
TI - Homogeneous Cartan geometries
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 431
EP - 442
AB - 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.
LA - eng
KW - Cartan geometry; homogeneous space; infinitesimal automorphism; holonomy; conformal geometry; Cartan geometry; homogeneous space; infinitesimal automorphism; holonomy; conformal geometry
UR - http://eudml.org/doc/250150
ER -
References
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