Projectively flat connections and flat connections on homogeneous spaces

Details Projectively flat connections and flat connections on homogeneous spaces Projectively flat connections and flat connections on homogeneous spaces

2009-12-25

arxiv.org/abs/0912.4940v1

Mathematics

Differential Geometry

Scientific paper

We show a correspondence between the set of all G-invariant projectively flat
connections on a homogeneous apace $M=G/K$, and the one of all {G}^~-invariant
flat connections on a homogeneous space {M}^~={G}^~/K, where {G}^~ is a central
extension of G.

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