paper

Existence of approximate Hermitian-Einstein structures on semistable principal bundles

arXiv:1202.4603 · doi:10.1016/j.bulsci.2012.02.005

Abstract

Let E_G be a principal G-bundle over a compact connected Kähler 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.

7 pages, Bulletin des Sciences Mathématiques (to appear)

Existence of approximate Hermitian-Einstein structures on semistable principal bundles · wovepaper