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.
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
@article{10_4153_CMB_2006_004_8,
author = {Daskalopoulos, Georgios D. and Wentworth, Richard A.},
title = {Holomorphic {Frames} for {Weakly} {Converging} {Holomorphic} {Vector} {Bundles}},
journal = {Canadian mathematical bulletin},
pages = {36--40},
year = {2006},
volume = {49},
number = {1},
doi = {10.4153/CMB-2006-004-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-004-8/}
}
TY - JOUR AU - Daskalopoulos, Georgios D. AU - Wentworth, Richard A. TI - Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles JO - Canadian mathematical bulletin PY - 2006 SP - 36 EP - 40 VL - 49 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-004-8/ DO - 10.4153/CMB-2006-004-8 ID - 10_4153_CMB_2006_004_8 ER -
%0 Journal Article %A Daskalopoulos, Georgios D. %A Wentworth, Richard A. %T Holomorphic Frames for Weakly Converging Holomorphic Vector Bundles %J Canadian mathematical bulletin %D 2006 %P 36-40 %V 49 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-004-8/ %R 10.4153/CMB-2006-004-8 %F 10_4153_CMB_2006_004_8
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