1. CMB 2006 (vol 49 pp. 36)
|Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles |
Using a modification of Webster's proof of the Newlander--Nirenberg theorem, it is shown that, for a weakly convergent sequence of integrable unitary connections on a complex vector bundle over a complex manifold, there is a subsequence of local holomorphic frames that converges strongly in an appropriate Holder class.
Categories:57M50, 58E20, 53C24