论文标题
在几乎赫尔米尼人的流形上,变形的Hermitian-yang-mills方程
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
论文作者
论文摘要
在本文中,我们考虑了封闭的几乎赫尔米利亚流形的变形的Hermitian-yang-mills方程。在超临界阶段的情况下,我们根据可允许的$ \ MATHCAL {C} $ subsolution得出先验估计。作为一种应用,我们证明了在超级溶液的存在条件下,在存在的遗传性阳性式阳离子方程中存在解决方案。
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.