一类非紧凑高杜洪流形上的扭转曲束上的典范度量

Axioms Pub Date : 2024-05-09 DOI:10.3390/axioms13050312

Shi-Fan Cai, S. Chaubey, Xin Xu, Pan Zhang, Zhi-Heng Zhang

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引用次数: 0

摘要

本文旨在证明特殊非紧密高都松流形上的全形扭曲四维束的一个定理，将微分几何学中的（σ,τ）-赫米特-杨-米尔斯公设的存在与代数几何学中的（σ,τ）-解析稳定性联系起来。定理的证明依赖于流动方法和乌伦贝克-尤氏连续性方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Canonical Metrics on Twisted Quiver Bundles over a Class of Non-Compact Gauduchon Manifold

The aim of this paper is to prove a theorem for holomorphic twisted quiver bundles over a special non-compact Gauduchon manifold, connecting the existence of (σ,τ)-Hermite–Yang–Mills metric in differential geometry and the analytic (σ,τ)-stability in algebraic geometry. The proof of the theorem relies on the flow method and the Uhlenbeck–Yau’s continuity method.

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