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Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles

  Published:2006-03-01
 Printed: Mar 2006
  • Georgios D. Daskalopoulos
  • Richard A. Wentworth
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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, 58E20, 53C24 show english descriptions Geometric structures on low-dimensional manifolds
Harmonic maps [See also 53C43], etc.
Rigidity results
57M50 - Geometric structures on low-dimensional manifolds
58E20 - Harmonic maps [See also 53C43], etc.
53C24 - Rigidity results
 

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