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math.DG2012★ 2 cited
Remarks on the Yang-Mills flow on a compact Kahler manifold
Tristan C. Collins, Adam Jacob
We study the Yang-Mills flow on a holomorphic vector bundle E over a compact Kahler manifold X. We construct a natural barrier function along the flow, and introduce some technique…
math.DG2012★ 6 cited
Existence of approximate Hermitian-Einstein structures on semistable principal bundles
Indranil Biswas, Adam Jacob, Matthias Stemmler
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 onl…