7 citations · 17 across the 13 of their papers we have counts for
19 papers
Volume growth estimates of gradient Ricci solitons
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
In this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume gr…
The rate of -convergence for Ricci flows with closed and smooth tangent flows
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
This article is a continuation of [CMZ21b], where we proved that a Ricci flow with a closed and smooth tangent flow has unique tangent flow, and its corresponding forward or backwa…
Canonical surgeries in rotationally invariant Ricci flow
Timothy Buttsworth, Maximilien Hallgren, Yongjia Zhang
We construct a rotationally invariant Ricci flow through surgery starting at any closed rotationally invariant Riemannian manifold. We demonstrate that a sequence of such Ricci flo…
An optimal volume growth estimate for noncollapsed steady gradient Ricci solitons
Richard H. Bamler, Pak-Yeung Chan, Zilu Ma +1
In this paper, we prove a volume growth estimate for steady gradient Ricci solitons with bounded Nash entropy. We show that such a steady gradient Ricci soliton has volume growth r…
No breather theorems for the mean curvature flow
Liang Cheng, Yongjia Zhang
In this article we study the breathers of the mean curvature flow in the Euclidean space. A breather is a solution to the mean curvature flow which repeats itself up to isometry an…
A uniform Sobolev inequality for ancient Ricci flows with bounded Nash entropy
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
This note is a continuation of [CMZ21]. We shall show that an ancient Ricci flow with uniformly bounded Nash entropy must also have uniformly bounded -functional. Consequently,…