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

Boudjemaa Anchouche; Indranil Biswas

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

Boudjemaa Anchouche^*, Indranil Biswas

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

67 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 language	English
Pages (from-to)	207-228
Number of pages	22
Journal	American Journal of Mathematics
Volume	123
Issue number	2
Publication status	Published - Apr 2001

ASJC Scopus subject areas

Mathematics(all)

Cite this

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abstract = "Given a compact K{\"a}hler 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.",

author = "Boudjemaa Anchouche and Indranil Biswas",

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AB - 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.

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

Abstract

ASJC Scopus subject areas

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