6 citations · 16 across the 23 of their papers we have counts for
4 papers · 1 filter
Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds
Liang Cheng, Yongjia Zhang
In this paper, we prove a pseudolocality-type theorem for -complete noncompact Ricci flow which may not have bounded sectional curvature; with the help of it we study t…
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 no expanding breather theorem for noncompact Ricci flows
Liang Cheng, Yongjia Zhang
In this note we show that, under certain curvature positivity conditions (the weak condition or the nonnegative bisectional curvature condition), a complete…
On the noncollapsedness of positively curved Type I ancient Ricci flows
Liang Cheng, Yongjia Zhang
In this article, we study complete Type I ancient Ricci flows with positive sectional curvature. Our main results are as follows: in the complete and noncompact case, all such anci…