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math.DG2004
On stability and the convergence of the Kähler-Ricci flow
D. H. Phong, Jacob Sturm
Assuming uniform bounds for the curvature, the exponential convergence of the Kähler-Ricci flow is established under two conditions which are a form of stability: the Mabuchi energ…
math.DG2004★ 10 cited
On the Kähler-Ricci flow on complex surfaces
D. H. Phong, Jacob Sturm
It is observed that for complex surfaces, the positivity of the Ricci curvature is preserved by the Kähler-Ricci flow, under the additional assumption that the sum of the two lowes…