6 citations · 16 across the 23 of their papers we have counts for
24 papers
On Positively Curved Einstein Four-Manifolds with Euler Characteristic at Most Three
Liang Cheng
It is conjectured that a complete, orientable Einstein four-manifold with strictly positive sectional curvature must be isometric to either the round four-sphere or the compl…
Ball and Spherical-Shell Rigidity from Overdetermined Translating Solitons
Liang Cheng, Li Ma
We study overdetermined boundary problems for the graphical translating-soliton equation \[ -\operatorname{div}\!\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) =\frac{1}{\sqrt{1+|Du|^2}}…
On locally conformally flat manifolds with positive pinched Ricci curvature
Liang Cheng
By using the Yamabe flow, we prove that if , , is an -dimensional locally conformally flat complete Riemannian manifold , where is a uniform…
Pseudolocality theorems of Ricci flows on incomplete manifolds
Liang Cheng
In this paper we study the pseudolocality theorems of Ricci flows on incomplete manifolds. We prove that if a ball with its closure contained in an incomplete manifold has the smal…
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…