 |
|
Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles |
Canad. Math. Bull. 49(2006), 36-40
Published:2006-03-01
Printed: Mar 2006
Printed: Mar 2006
- Georgios D. Daskalopoulos
- Richard A. Wentworth
Abstract
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.
| MSC Classifications: |
57M50 - Geometric structures on low-dimensional manifolds 58E20 - Harmonic maps [See also 53C43], etc. 53C24 - Rigidity results |