Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold

Anchouche, Boudjemaa ; Biswas, Indranil (2001) Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold American Journal of Mathematics, 123 (2). pp. 207-228. ISSN 0002-9327

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Abstract

Given a compact Kahler 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.

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Deposited On:12 Oct 2010 04:33
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