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math.DG2023
Dimension Reduction for Positively Curved Steady Solitons
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
We consider noncollapsed steady gradient Ricci solitons with nonnegative sectional curvature. We show that such solitons always dimension reduce at infinity. This generalizes an ea…
math.DG2023
Local smooth convergence of -limit flows
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
The metric flow is introduced and extensively studied by Bamler [Bam20b, Bam20c], especially as an -limit of a sequence of smooth Ricci flows with uniformly bounded Nas…