Projectively flat connections and flat connections on homogeneous spaces
Differential Geometry
2009-12-31 v1
Abstract
We show a correspondence between the set of all G-invariant projectively flat connections on a homogeneous apace , and the one of all {G}^~-invariant flat connections on a homogeneous space {M}^~={G}^~/K, where {G}^~ is a central extension of G.
Keywords
Cite
@article{arxiv.0912.4940,
title = {Projectively flat connections and flat connections on homogeneous spaces},
author = {Hajime Urakawa},
journal= {arXiv preprint arXiv:0912.4940},
year = {2009}
}