10 citations · 16 across the 5 of their papers we have counts for
5 papers
Uniqueness of isometric immersions with the same mean curvature
Chunhe Li, Pengzi Miao, Zhizhang Wang
Motivated by the quasi-local mass problem in general relativity, we study the rigidity of isometric immersions with the same mean curvature into a warped product space. As a coroll…
The curvature estimates for convex solutions of some fully nonlinear Hessian type equations
Chunhe Li, Changyu Ren, Zhizhang Wang
The curvature estimates of quotient curvature equation do not always exist even for convex setting \cite{GRW}. Thus it is natural question to find other type of elliptic equations…
The rigidity of hypersurface in Euclidean space
Chunhe Li, Yanyan Xu
In the present paper, we revisit the rigidity of hypersurfaces in Euclidean space. We highlight Darboux equation and give new proof of rigidity of hypersurfaces by energy method an…
An necessary condition for isoperimetric inequality in warped product space
Li Chunhe, Wang Zhizhang
In this note, we show that there is some counterexample for isoperimetric inequality if the condition does not hold in warped product space.
The Weyl problem in warped product space
Chunhe Li, Zhizhang Wang
In this paper, we discuss the Weyl problem in warped product space. We obtain the openness, non rigidity and some applications. These results together with the a priori estimates o…