The inverse Monge-Ampere flow and applications to Kahler-Einstein metrics

Tristan C. Collins, Tomoyuki Hisamoto, Ryosuke Takahashi

We introduce the inverse Monge-Ampere flow as the gradient flow of the Ding energy functional on the space of Kahler metrics in $2\pi \lambda c_1(X)$ for $\lambda =\pm 1$. We prove the long-time e…