Abstract
We show a correspondence between the set of all $G$-invariant projectively flat connections on a homogeneous space $M=G/K$, and the one of all $\widetilde{G}$-invariant flat connections on homogeneous spaces $\widetilde{M}=\widetilde{G}/K$, where $\widetilde{G}$ is a central extension of $G$ (Theorem 3.3).
Citation
Hajime URAKAWA. "Projectively flat connections and flat connections on homogeneous spaces." Hokkaido Math. J. 39 (2) 139 - 155, May 2010. https://doi.org/10.14492/hokmj/1277385658
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