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

Boudjemaa Anchouche, Indranil Biswas

Research output: Contribution to journal › Article

62 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)207-228
Number of pages22
JournalAmerican Journal of Mathematics
Volume123
Issue number2
Publication statusPublished - Apr 2001

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Principal Bundle
Compact Manifold
Albert Einstein
Bundle
Higgs Bundles
If and only if
Reductive Group
Algebraic Groups
Higgs

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold. / Anchouche, Boudjemaa; Biswas, Indranil.

In: American Journal of Mathematics, Vol. 123, No. 2, 04.2001, p. 207-228.

Research output: Contribution to journal › Article

Anchouche, B & Biswas, I 2001, 'Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold', American Journal of Mathematics, vol. 123, no. 2, pp. 207-228.
Anchouche B, Biswas I. Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold. American Journal of Mathematics. 2001 Apr;123(2):207-228.
Anchouche, Boudjemaa ; Biswas, Indranil. / Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold. In: American Journal of Mathematics. 2001 ; Vol. 123, No. 2. pp. 207-228.
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