Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles
Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 36-40

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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.
DOI : 10.4153/CMB-2006-004-8
Mots-clés : 57M50, 58E20, 53C24
Daskalopoulos, Georgios D.; Wentworth, Richard A. Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 36-40. doi: 10.4153/CMB-2006-004-8
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     title = {Holomorphic {Frames} for {Weakly} {Converging} {Holomorphic} {Vector} {Bundles}},
     journal = {Canadian mathematical bulletin},
     pages = {36--40},
     year = {2006},
     volume = {49},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-004-8/}
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