Abstract
Einstein-Hermitian vector bundles are defined by a certain curvature condition. We prove that over a compact Kähler manifold a bundle satisfying this condition is semistable in the sense of Mumford-Takemoto and a direct sum of stable Einstein-Hermitian subbundles.
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Lübke, M. Stability of Einstein-Hermitian vector bundles. Manuscripta Math 42, 245–257 (1983). https://doi.org/10.1007/BF01169586
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DOI: https://doi.org/10.1007/BF01169586