TY - JOUR
T1 - Einstein-Hermitian connections on polystable principal bundles over a compact Kähler manifold
AU - Anchouche, Boudjemaa
AU - Biswas, Indranil
PY - 2001/4
Y1 - 2001/4
N2 - 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.
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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U2 - 10.1353/ajm.2001.0007
DO - 10.1353/ajm.2001.0007
M3 - Article
AN - SCOPUS:0035315545
VL - 123
SP - 207
EP - 228
JO - American Journal of Mathematics
JF - American Journal of Mathematics
SN - 0002-9327
IS - 2
ER -