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A remark on “Connections and Higgs fields on a principal bundle”

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 27 Feb 2011Embargo end date: 01 Jan 2011Publisher:Springer Science and Business Media LLCJournal:Annals of Global Analysis and Geometry, volume 40, pages 287-289 (issn: 0232-704X, eissn: 1572-9060,

Authors: Carlos Florentino; Indranil Biswas;

doi: 10.1007/s10455-011-9257-1 , 10.48550/arxiv.1102.4216

arXiv: http://arxiv.org/abs/1102.4216

A remark on “Connections and Higgs fields on a principal bundle”

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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.

Annals of Global Analysis and Geometry (to appear)

Related Organizations

Instituto Superior de Espinho
Portugal
Tata Institute of Fundamental Research
India

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 32L05, 53C07

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