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arXiv · 2301.01428

On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles

Changpeng Pan·Zhenghan Shen·Xi Zhang
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Abstract

In this paper, we study the non-Hermitian Yang-Mills (NHYM for short) bundles over compact K\"ahler manifolds. We show that the existence of harmonic metrics is equivalent to the semisimplicity of NHYM bundles, which confirms the Conjecture 8.7 in \cite{KV}.

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Changpeng Pan, Zhenghan Shen, Xi Zhang. 2023-01-04. On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles. https://arxiv.org/abs/2301.01428

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