# Hokkaido Mathematical Journal

## Hokkaido Mathematical Journal, 39 (2010) pp.139-155

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### 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).

MSC(Primary) 53A15(MSC2000), 53C35(MSC2000), 53C42(MSC2000), 22E45(MSC2000) projectively flat connection; flat connection; reductive homogeneous space; symmetric space; simple Lie group;