科研之友
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摘要
Let (Y,d) be a Gromov-Hausdorff limit of n-dimensional closed shrinking Kahler-Ricci solitons with uniformly bounded volumes and Futaki invariants. We prove that off a closed subset of codimension at least 4, Y is a smooth manifold satisfying a shrinking Kahler-Ricci soliton equation. A similar convergence result for Kahler-Ricci flow of positive first Chern class is also obtained.
