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arXiv · 2011.14091

The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds

Liding Huang·Jiaogen Zhang·Xi Zhang
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Abstract

In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under the existence of an admissible $\mathcal{C}$-subsolution. As an application, we prove the existence of solutions for the deformed Hermitian-Yang-Mills equation under the condition of existence of a supersolution.

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Liding Huang, Jiaogen Zhang, Xi Zhang. 2020-11-28. The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds. https://arxiv.org/abs/2011.14091

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