1 citations · 1 across the 4 of their papers we have counts for
4 papers
Unique Asymptotics of Steady Ricci Solitons with Symmetry
Zilu Ma, Hamidreza Mahmoudian, Natasa Sesum
In this paper we study 4d gradient steady Ricci solitons, which are weak -solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric a…
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…
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…
A local Sobolev inequality on Ricci flow and its applications
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
In this article, we prove a local Sobolev inequality for complete Ricci flows. Our main result is that the local -functional of a disk on a Ricci flow depends only on the Nash e…