Given a compact Kähler manifold M and a connected reductive algebraic group G over ℂ, a principal G-bundle over M admits an Einstein-Hermitian connection if and only if the principal bundle is polystable. If M is a projective manifold, a Higgs G-bundle over M admits an Einstein-Hermitian connection if and only if the Higgs bundle is polystable.
|Number of pages||22|
|Journal||American Journal of Mathematics|
|Publication status||Published - Apr 2001|
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