PROLONGEMENT D’UN FIBRE HOLOMORPHE HERMITIEN A COURBURE Lp SUR UNE COURBE OUVERTE
- 1 August 1992
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 3 (4) , 441-453
- https://doi.org/10.1142/s0129167x92000199
Abstract
Let X be a Riemann surface and S a finite set of marked points on X. If is a hermitian holomorphic vector bundle with Lp-curvature for some p>1, we study the asymptotic behaviour of the Chern connection around the marked points; by solving directly a -problem in a weighted Sobolev space, we extend the holomorphic structure of over S to get a parabolic bundle. We deduce a proof of the classification of these hermitian metrics.Keywords
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