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: $$\frac{\partial h}{\partial t}=-\hat{I}{›}_{\ddot{I}{‰}_g}\left({\sqrt{R}}^h\right)+P$$ where $…