Holomorphic principal bundles over a compact Kähler manifold. (English, French summaries) C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 2, 109–114. Let G be a connected reductive algebraic group over C. Analogues of a theorem of Uhlenbeck and Yau on Hermite-Einstein metrics on polystable vector bundles and of a reduction theorem of Harder and Narasimhan are given for any principal G-bundle EG over a compact Kähler manifold. The authors ’ method is to investigate links between stability and connection properties of EG and those of ad(EG). Reviewed by Christophe Mourougan
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