Numerically flat principal bundles
Generalizing the notion of a numerically flat vector bundle over a Kahler manifold $M$, we define a numerically flat principal $G$-bundle over $M$, where $G$ is a semisimple complex algebraic group. It is proved that a principal $G$-bundle $E G$ is numerically flat if and only if $\text{ad}(E G)$ is numerically flat.
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