A remark on "Connections and Higgs fields on a principal bundle"

Details A remark on "Connections and Higgs fields on a principal bundle" A remark on "Connections and Higgs fields on a principal bundle"

2011-02-21

arxiv.org/abs/1102.4216v1

Mathematics

Differential Geometry

Annals of Global Analysis and Geometry (to appear)

Scientific paper

We show that a unipotent vector bundle on a non-Kaehler compact complex
manifold does not admit a flat holomorphic connection in general. We also
construct examples of topologically trivial stable vector bundle on compact
Gauduchon manifold that does not admit any unitary flat connection.

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