The prescribed Hermitian-Yang-Mills flow I

Zhiyao Xiong, Xaokui Yang, Shing-Tung Yau

In this paper, we introduce a broad class of flows, including the prescribed Hermitian-Yang-Mills flow: $$\frac{\partial h}{\partial t}=-{\Lambda }_{{\omega }_g}\left(\sqrt{-1}{R}^h\right)+P$$ where…