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 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Anchouche, B., & Biswas, I. (2001). Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold. American Journal of Mathematics, 123(2), 207-228.