On the lower bound of energy functional \(E_1\). I: A stability theorem on the Kähler Ricci flow (Q2434058)

The author proves a stability theorem for the Kähler-Ricci flow near the infimum of the energy functional \(E_1\). To prove the theorem, the author assumes, for the initial metric \(g\), that \(\text{Ricci}(g)>-1\) and \(| \text{Riem}(g)|\) be bounded, and makes a topological assumption (that he hopes to remove in future work) on the canonical Kähler class.