Kähler-Ricci flow for deformed complex structures

Gang Tian, Liang Zhang, Xiaohua Zhu

Let $(M,J_0)$ be a Fano manifold which admits a Kähler-Ricci soliton, we analyze the behavior of the Kähler-Ricci flow near this soliton as we deform the complex structure $J_0$. F…