21 citations · 48 across the 37 of their papers we have counts for
37 papers · 1 filter
Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds
Daguang Chen, Qing-Ming Cheng
We revisit the eigenvalue problem of the Dirichlet Laplacian on bounded domains in complete Riemannian manifolds. By building on classical results like Li-Yau's and Yang's inequali…
Complete minimal hypersurfaces in a hyperbolic space
Qing-Ming Cheng, Yejuan Peng
In this paper, we study -dimensional complete minimal hypersurfaces in a hyperbolic space of constant curvature . We prove that a -dimensional complete mini…
-dimensional complete vacuum static spaces
Qing-Ming Cheng, Guoxin Wei
In this paper, we study complete Vacuum Static Spaces. A complete classification of 3-dimensional complete Vacuum Static Spaces with non-negative scalar curvature and constant squa…
Complete hypersurfaces with -constant mean curvature in the unit spheres
Qing-Ming Cheng, Guoxin Wei
In this paper, we study -dimensional complete hypersurfaces with -constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for -dimensiona…
Examples of compact embedded -hypersurfaces
Qing-Ming Cheng, Junqi Lai, Guoxin Wei
In the paper, we construct compact embedded -hypersurfaces which are diffeomorphic to a sphere and are not isometric to a standard sphere. Hence, one can not expect to have Alex…
A classification of complete -dimensional self-shrinkers in the Euclidean space
Qing-Ming Cheng, Zhi Li, Guoxin Wei
In this paper, we completely classify -dimensional complete self-shrinkers with constant norm of the second fundamental form and constant in Euclidean space $\mathbb…