Stability of complex vector bundles
The paper presents an attempt to understand stability problems for complex bundles with an almost complex structure, not necessarily integrable. The main result is the following. Any stable almost complex vector bundle over a compact almost Hermitian regularized manifold admits a Hermitian-Einstein connection. The proof is based on an improved version of Uhlenbeck-Yau and Simpson's techniques, and on regularity theory for weakly \(J\)-holomorphic maps, developed in the present paper.
scientific article; zbMATH DE number 895025