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 |
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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)