Existence of approximate Hermitian-Einstein structures on semistable principal bundles
Differential Geometry
2012-09-28 v1 Algebraic Geometry
Abstract
Let E_G be a principal G-bundle over a compact connected K\"ahler manifold, where G is a connected reductive complex linear algebraic group. We show that E_G is semistable if and only if it admits approximate Hermitian-Einstein structures.
Keywords
Cite
@article{arxiv.1202.4603,
title = {Existence of approximate Hermitian-Einstein structures on semistable principal bundles},
author = {Indranil Biswas and Adam Jacob and Matthias Stemmler},
journal= {arXiv preprint arXiv:1202.4603},
year = {2012}
}
Comments
7 pages, Bulletin des Sciences Math\'ematiques (to appear)