Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
We show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity. We also show that a smooth Hermitian metric on a...
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Main Authors: | Deng, Fusheng, Ning, Jiafu, Wang, Zhiwei, Zhou, Xiangyu |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-11-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.675/ |
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