2010/06/08 by Tian, Gang, Zhang, Zhenlei
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1006.1577
Let (Y, d) be a Gromov-Hausdorff limit of n-dimensional closed shrinking Kähler-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 Kähler-Ricci soliton equation. A similar convergence result for Kähler-Ricci flow of positive first Chern class is also obtained.