A remark on "Connections and Higgs fields on a principal bundle"
Differential Geometry
2023-09-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1102.4216,
title = {A remark on "Connections and Higgs fields on a principal bundle"},
author = {Indranil Biswas and Carlos Florentino},
journal= {arXiv preprint arXiv:1102.4216},
year = {2023}
}
Comments
Annals of Global Analysis and Geometry (to appear)