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math.DG2010
On the Kähler-Ricci flow near a Kähler-Einstein metric
Song Sun, Yuanqi Wang
On a Fano manifold, we prove that the Kahler-Ricci flow starting from a Kahler metric in the anti-canonical class which is sufficiently close to a Kahler-Einstein metric must conve…
math.DG2010★ 13 cited
Calabi flow, Geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
Xiuxiong Chen, Song Sun
We prove that constant scalar curvature Kähler metric "adjacent" to a fixed Kähler class is unique up to isomorphism. This extends the uniqueness theorem of Donaldson and Chen-Tian…