, Volume 42, Issue 2-3, pp 245-257

Stability of Einstein-Hermitian vector bundles

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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.