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07 February 2025
 
  » arxiv » 2301.01433

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Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds
Zhenghan Shen ;
Date 4 Jan 2023
AbstractIn this paper, we study the semi-stable twisted holomorphic vector bundles over compact Gauduchon manifolds. By using Uhlenbeck--Yau’s continuity method, we show that the existence of approximate Hermitian--Einstein structure and the semi-stability of twisted holomorphic vector bundles are equivalent over compact Gauduchon manifolds. As its application, we show that the Bogomolov type inequality is also valid for a semi-stable twisted holomorphic vector bundle.
Source arXiv, 2301.01433
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