Abstract
Generalizing the notion of a numerically flat vector bundle over a Kähler 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. Numerically flat bundles are also characterized using the notion of semistability.
Citation
Indranil Biswas. Swaminathan Subramanian. "Numerically flat principal bundles." Tohoku Math. J. (2) 57 (1) 53 - 63, 2005. https://doi.org/10.2748/tmj/1113234834
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