Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds
Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds
Let $X$ be a compact Gauduchon manifold, and let $E$ and $V_0$ be holomorphic vector bundles over $X$. Suppose that $E$ is stable when considering all subsheaves preserved by a Higgs field $\theta\in H^0($End$(E)\otimes V_0)$. Then a modified version of the Donaldson heat flow converges along a subsequence of times …