Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds

DOI10.5802/CRMATH.675MaRDI QIDQ6644100

Jiafu Ning, Fusheng Deng, Xiangyu Zhou, Zhiwei Wang

Publication date: 27 November 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

approximation of singular Hermitian metrics by smooth Hermitian metricsGriffiths negativeholomorhic vector bundles on Stein manifoldsNakano negative

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Stein manifolds (32Q28) Holomorphic bundles and generalizations (32L05)

Cites Work

• Title not available (Why is that?)
• Singular Hermitian metrics on holomorphic vector bundles
• Bergman kernels and the pseudoeffectivity of relative canonical bundles
• Every Stein subvariety admits a Stein neighborhood
• The Levi problem on complex spaces with singularities
• Curvature of vector bundles associated to holomorphic fibrations
• Analytic methods in algebraic geometry
• Stein Manifolds and Holomorphic Mappings

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