49 citations · 106 across the 18 of their papers we have counts for
4 papers · 2 filters
On the convergence of the Sasaki-Ricci flow
Tristan C. Collins, Adam Jacob
Given a Sasaki manifold S, we prove the Sasaki-Ricci flow converges exponentially fast to a Sasaki-Einstein metric if one exists, provided the automorphism group of the transverse…
Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds
Adam Jacob
Let be a compact Gauduchon manifold, and let and be holomorphic vector bundles over . Suppose that is stable when considering all subsheaves preserved by a Hig…
The Yang-Mills flow and the Atiyah-Bott formula on compact Kahler manifolds
Adam Jacob
We study the Yang-Mills flow on a holomorphic vector bundle E over a compact Kahler manifold X . Along a solution of the flow, we show the curvature approaches in …
The limit of the Yang-Mills flow on semi-stable bundles
Adam Jacob
By the work of Hong and Tian it is known that given a holomorphic vector bundle E over a compact Kahler manifold X, the Yang-Mills flow converges away from an analytic singular set…